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Finding the Fourth Proportional to 7,539.52, 10,406.16 and 7,187.92

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Solution

The fourth proportional to 7,539.52, 10,406.16 and 7,187.92 is: 9,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.52 : 10,406.16 = 7,187.92 : x
  2. Step 2: Convert to fraction form
    7,539.52/10,406.16 = 7,187.92/x
  3. Step 3: Cross multiply
    7,539.52x = 10,406.16 × 7,187.92
  4. Step 4: Simplify right side
    7,539.52x = 74,798,645.59
  5. Step 5: Solve for x
    x = 74,798,645.59/7,539.52
  6. Step 6: Final answer
    x = 9,920.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.