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Finding the Fourth Proportional to 7,115.68, 10,689.72 and 5,147.38

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Solution

The fourth proportional to 7,115.68, 10,689.72 and 5,147.38 is: 7,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.68 : 10,689.72 = 5,147.38 : x
  2. Step 2: Convert to fraction form
    7,115.68/10,689.72 = 5,147.38/x
  3. Step 3: Cross multiply
    7,115.68x = 10,689.72 × 5,147.38
  4. Step 4: Simplify right side
    7,115.68x = 55,024,050.93
  5. Step 5: Solve for x
    x = 55,024,050.93/7,115.68
  6. Step 6: Final answer
    x = 7,732.79

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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.