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Finding the Fourth Proportional to 7,075.47, 10,611.84 and 6,724.25

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Solution

The fourth proportional to 7,075.47, 10,611.84 and 6,724.25 is: 10,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.47 : 10,611.84 = 6,724.25 : x
  2. Step 2: Convert to fraction form
    7,075.47/10,611.84 = 6,724.25/x
  3. Step 3: Cross multiply
    7,075.47x = 10,611.84 × 6,724.25
  4. Step 4: Simplify right side
    7,075.47x = 71,356,612.06
  5. Step 5: Solve for x
    x = 71,356,612.06/7,075.47
  6. Step 6: Final answer
    x = 10,085.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.