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Finding the Fourth Proportional to 7,695.89, 11,542.17 and 2,431.31

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Solution

The fourth proportional to 7,695.89, 11,542.17 and 2,431.31 is: 3,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.89 : 11,542.17 = 2,431.31 : x
  2. Step 2: Convert to fraction form
    7,695.89/11,542.17 = 2,431.31/x
  3. Step 3: Cross multiply
    7,695.89x = 11,542.17 × 2,431.31
  4. Step 4: Simplify right side
    7,695.89x = 28,062,593.34
  5. Step 5: Solve for x
    x = 28,062,593.34/7,695.89
  6. Step 6: Final answer
    x = 3,646.44

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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.