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Finding the Fourth Proportional to 10,713.52, 16,075.14 and 5,523.04

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Solution

The fourth proportional to 10,713.52, 16,075.14 and 5,523.04 is: 8,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.52 : 16,075.14 = 5,523.04 : x
  2. Step 2: Convert to fraction form
    10,713.52/16,075.14 = 5,523.04/x
  3. Step 3: Cross multiply
    10,713.52x = 16,075.14 × 5,523.04
  4. Step 4: Simplify right side
    10,713.52x = 88,783,641.23
  5. Step 5: Solve for x
    x = 88,783,641.23/10,713.52
  6. Step 6: Final answer
    x = 8,287.07

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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.