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Finding the Fourth Proportional to 8,540.14, 12,793.64 and 5,609.56

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Solution

The fourth proportional to 8,540.14, 12,793.64 and 5,609.56 is: 8,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.14 : 12,793.64 = 5,609.56 : x
  2. Step 2: Convert to fraction form
    8,540.14/12,793.64 = 5,609.56/x
  3. Step 3: Cross multiply
    8,540.14x = 12,793.64 × 5,609.56
  4. Step 4: Simplify right side
    8,540.14x = 71,766,691.20
  5. Step 5: Solve for x
    x = 71,766,691.20/8,540.14
  6. Step 6: Final answer
    x = 8,403.46

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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.