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Finding the Fourth Proportional to 8,471.13, 12,704.40 and 3,539.74

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Solution

The fourth proportional to 8,471.13, 12,704.40 and 3,539.74 is: 5,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.13 : 12,704.40 = 3,539.74 : x
  2. Step 2: Convert to fraction form
    8,471.13/12,704.40 = 3,539.74/x
  3. Step 3: Cross multiply
    8,471.13x = 12,704.40 × 3,539.74
  4. Step 4: Simplify right side
    8,471.13x = 44,970,241.10
  5. Step 5: Solve for x
    x = 44,970,241.10/8,471.13
  6. Step 6: Final answer
    x = 5,308.65

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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.