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Finding the Fourth Proportional to 12,086.38, 16,677.93 and 6,781.78

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Solution

The fourth proportional to 12,086.38, 16,677.93 and 6,781.78 is: 9,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.38 : 16,677.93 = 6,781.78 : x
  2. Step 2: Convert to fraction form
    12,086.38/16,677.93 = 6,781.78/x
  3. Step 3: Cross multiply
    12,086.38x = 16,677.93 × 6,781.78
  4. Step 4: Simplify right side
    12,086.38x = 113,106,052.12
  5. Step 5: Solve for x
    x = 113,106,052.12/12,086.38
  6. Step 6: Final answer
    x = 9,358.14

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Why These Related Problems?

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