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Finding the Fourth Proportional to 8,061.40, 12,098.76 and 4,115.57

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Solution

The fourth proportional to 8,061.40, 12,098.76 and 4,115.57 is: 6,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,061.40 : 12,098.76 = 4,115.57 : x
  2. Step 2: Convert to fraction form
    8,061.40/12,098.76 = 4,115.57/x
  3. Step 3: Cross multiply
    8,061.40x = 12,098.76 × 4,115.57
  4. Step 4: Simplify right side
    8,061.40x = 49,793,293.69
  5. Step 5: Solve for x
    x = 49,793,293.69/8,061.40
  6. Step 6: Final answer
    x = 6,176.76

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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.