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Finding the Fourth Proportional to 7,132.38, 10,689.13 and 5,164.59

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Solution

The fourth proportional to 7,132.38, 10,689.13 and 5,164.59 is: 7,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.38 : 10,689.13 = 5,164.59 : x
  2. Step 2: Convert to fraction form
    7,132.38/10,689.13 = 5,164.59/x
  3. Step 3: Cross multiply
    7,132.38x = 10,689.13 × 5,164.59
  4. Step 4: Simplify right side
    7,132.38x = 55,204,973.91
  5. Step 5: Solve for x
    x = 55,204,973.91/7,132.38
  6. Step 6: Final answer
    x = 7,740.05

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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.