Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_40709 ( "Location" text, "Control" text, "Type" text, "Enrollment" real, "Founded" real )

### Question ###
With 10,894 students enrolled, in what year was this private RU/VH institution located in Troy, New York founded?

### Accurate SQL ###

SELECT AVG("Founded") FROM table_40709 WHERE "Type" = 'ru/vh' AND "Control" = 'private' AND "Enrollment" > '10,894' AND "Location" = 'troy, new york'