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Finding the Fourth Proportional to 12,084.59, 16,678.31 and 6,781.12

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Solution

The fourth proportional to 12,084.59, 16,678.31 and 6,781.12 is: 9,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.59 : 16,678.31 = 6,781.12 : x
  2. Step 2: Convert to fraction form
    12,084.59/16,678.31 = 6,781.12/x
  3. Step 3: Cross multiply
    12,084.59x = 16,678.31 × 6,781.12
  4. Step 4: Simplify right side
    12,084.59x = 113,097,545.91
  5. Step 5: Solve for x
    x = 113,097,545.91/12,084.59
  6. Step 6: Final answer
    x = 9,358.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.