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Coronavirus-linked fatalities at nursing homes and other long-term care facilities in the US have surpassed 10,000 — with the highest tally in New York, according to a troubling new report.

A survey by the Wall Street Journal published Wednesday found at least 10,700 fatalities among 35 states that either submit data online or responded to information requests.

Some states, including Ohio and Washington, have not reported data in such COVID-19 deaths, while others, like Massachusetts and West Virginia, are working to ramp up testing for residents and staffers at long-term facilities, the newspaper reports.

The virus has infected residents and employees in at least 4,800 facilities, leading to more than 56,000 infections nationwide.

The death toll, according to state data as of Wednesday, is highest in the Northeast, where three states have tallied more than 1,000 COVID-19-related deaths at nursing homes and long-term care facilities.

The highest total — 3,505 — was reported in New York, according to the outlet.

At Cobble Hill Health Center, a nursing home in Brooklyn, state officials have reported 55 deaths connected to the virus, but just one of the residents included in that tally had actually tested positive for COVID-19, according to its CEO, Donny Tuchman.

The other patients were diagnosed based on symptoms, according to Tuchman, who said he had only reported 50 such fatalities.

“We had great difficulty in obtaining tests for our residents,” Tuchman told the paper.

A New York state Department of Health spokesperson did not respond to a request for comment to the outlet.

A woman whose 80-year-old mother lives at the Brooklyn facility, meanwhile, told The Post Wednesday that patients with COVID-19 are not being separated from other residents who have not been diagnosed with the disease.

“If we don’t know where it is, and we don’t identify the asymptomatic residents and staff, then we have no ability to implement effective infection prevention and curb the transmission,” Morgan Katz, an assistant professor at Johns Hopkins University, told the newspaper.

Elsewhere, state officials in Massachusetts reported that 55 percent of its 2,182 coronavirus-linked deaths occurred in such long-term facilities. The state, however, only reports cases at those facilities that are confirmed by tests.

That’s not the case in New Jersey, where its tally of 2,050 deaths at its long-term facilities includes both lab-confirmed and suspected fatalities linked to the outbreak, the newspaper reports.

At least 46,785 people in the US have died from the coronavirus as of early Thursday, according to Johns Hopkins University data.