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Finding the Fourth Proportional to 12,086.57, 16,679.40 and 6,781.38

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Solution

The fourth proportional to 12,086.57, 16,679.40 and 6,781.38 is: 9,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.57 : 16,679.40 = 6,781.38 : x
  2. Step 2: Convert to fraction form
    12,086.57/16,679.40 = 6,781.38/x
  3. Step 3: Cross multiply
    12,086.57x = 16,679.40 × 6,781.38
  4. Step 4: Simplify right side
    12,086.57x = 113,109,349.57
  5. Step 5: Solve for x
    x = 113,109,349.57/12,086.57
  6. Step 6: Final answer
    x = 9,358.27

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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.