CREATE TABLE table_40709 ("Location" TEXT, "Control" TEXT, "Type" TEXT, "Enrollment" FLOAT, "Founded" FLOAT)

With 10,894 students enrolled, in what year was this private RU/VH institution located in Troy, New York founded?
SELECT AVG("Founded") FROM table_40709 WHERE "Type" = 'ru/vh' AND "Control" = 'private' AND "Enrollment" > '10,894' AND "Location" = 'troy, new york'
SELECT AVG("Founded") FROM "table_40709" WHERE "Control" = 'private' AND "Enrollment" > '10,894' AND "Location" = 'troy, new york' AND "Type" = 'ru/vh'