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Finding the Fourth Proportional to 11,854.46, 17,781.45 and 3,540.11

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Solution

The fourth proportional to 11,854.46, 17,781.45 and 3,540.11 is: 5,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.46 : 17,781.45 = 3,540.11 : x
  2. Step 2: Convert to fraction form
    11,854.46/17,781.45 = 3,540.11/x
  3. Step 3: Cross multiply
    11,854.46x = 17,781.45 × 3,540.11
  4. Step 4: Simplify right side
    11,854.46x = 62,948,200.05
  5. Step 5: Solve for x
    x = 62,948,200.05/11,854.46
  6. Step 6: Final answer
    x = 5,310.09

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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.