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Finding the Fourth Proportional to 8,098.68, 12,138.27 and 3,710.10

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Solution

The fourth proportional to 8,098.68, 12,138.27 and 3,710.10 is: 5,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.68 : 12,138.27 = 3,710.10 : x
  2. Step 2: Convert to fraction form
    8,098.68/12,138.27 = 3,710.10/x
  3. Step 3: Cross multiply
    8,098.68x = 12,138.27 × 3,710.10
  4. Step 4: Simplify right side
    8,098.68x = 45,034,195.53
  5. Step 5: Solve for x
    x = 45,034,195.53/8,098.68
  6. Step 6: Final answer
    x = 5,560.68

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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.