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Finding the Fourth Proportional to 10,431.52, 15,652.05 and 5,689.42

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Solution

The fourth proportional to 10,431.52, 15,652.05 and 5,689.42 is: 8,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.52 : 15,652.05 = 5,689.42 : x
  2. Step 2: Convert to fraction form
    10,431.52/15,652.05 = 5,689.42/x
  3. Step 3: Cross multiply
    10,431.52x = 15,652.05 × 5,689.42
  4. Step 4: Simplify right side
    10,431.52x = 89,051,086.31
  5. Step 5: Solve for x
    x = 89,051,086.31/10,431.52
  6. Step 6: Final answer
    x = 8,536.73

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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.