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Finding the Fourth Proportional to 11,489.31, 15,854.13 and 6,452.57

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Solution

The fourth proportional to 11,489.31, 15,854.13 and 6,452.57 is: 8,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.31 : 15,854.13 = 6,452.57 : x
  2. Step 2: Convert to fraction form
    11,489.31/15,854.13 = 6,452.57/x
  3. Step 3: Cross multiply
    11,489.31x = 15,854.13 × 6,452.57
  4. Step 4: Simplify right side
    11,489.31x = 102,299,804.34
  5. Step 5: Solve for x
    x = 102,299,804.34/11,489.31
  6. Step 6: Final answer
    x = 8,903.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.