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Finding the Fourth Proportional to 8,098.05, 12,147.07 and 6,251.86

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Solution

The fourth proportional to 8,098.05, 12,147.07 and 6,251.86 is: 9,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.05 : 12,147.07 = 6,251.86 : x
  2. Step 2: Convert to fraction form
    8,098.05/12,147.07 = 6,251.86/x
  3. Step 3: Cross multiply
    8,098.05x = 12,147.07 × 6,251.86
  4. Step 4: Simplify right side
    8,098.05x = 75,941,720.31
  5. Step 5: Solve for x
    x = 75,941,720.31/8,098.05
  6. Step 6: Final answer
    x = 9,377.78

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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.