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Finding the Fourth Proportional to 7,614.12, 11,419.20 and 3,229.32

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Solution

The fourth proportional to 7,614.12, 11,419.20 and 3,229.32 is: 4,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.12 : 11,419.20 = 3,229.32 : x
  2. Step 2: Convert to fraction form
    7,614.12/11,419.20 = 3,229.32/x
  3. Step 3: Cross multiply
    7,614.12x = 11,419.20 × 3,229.32
  4. Step 4: Simplify right side
    7,614.12x = 36,876,250.94
  5. Step 5: Solve for x
    x = 36,876,250.94/7,614.12
  6. Step 6: Final answer
    x = 4,843.14

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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.