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Finding the Fourth Proportional to 8,207.52, 12,366.68 and 6,778.68

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Solution

The fourth proportional to 8,207.52, 12,366.68 and 6,778.68 is: 10,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.52 : 12,366.68 = 6,778.68 : x
  2. Step 2: Convert to fraction form
    8,207.52/12,366.68 = 6,778.68/x
  3. Step 3: Cross multiply
    8,207.52x = 12,366.68 × 6,778.68
  4. Step 4: Simplify right side
    8,207.52x = 83,829,766.38
  5. Step 5: Solve for x
    x = 83,829,766.38/8,207.52
  6. Step 6: Final answer
    x = 10,213.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.