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Finding the Fourth Proportional to 7,591.64, 11,387.78 and 3,695.14

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Solution

The fourth proportional to 7,591.64, 11,387.78 and 3,695.14 is: 5,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.64 : 11,387.78 = 3,695.14 : x
  2. Step 2: Convert to fraction form
    7,591.64/11,387.78 = 3,695.14/x
  3. Step 3: Cross multiply
    7,591.64x = 11,387.78 × 3,695.14
  4. Step 4: Simplify right side
    7,591.64x = 42,079,365.97
  5. Step 5: Solve for x
    x = 42,079,365.97/7,591.64
  6. Step 6: Final answer
    x = 5,542.86

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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.