SELECT SUM("Population 2007") FROM table_7087 WHERE "State" = 'tyrol' AND "Population 1991" < '10,179' AND "Rank" > '52'
What was the sum of the population in 2007, from State Tyrol, in 1991 a population less than 10,179, and a rank larger than 52?
CREATE TABLE table_7087 (
    "Rank" real,
    "Name" text,
    "Population 1991" real,
    "Population 2001" real,
    "Population 2007" real,
    "State" text
)