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Finding the Fourth Proportional to 11,542.32, 15,930.46 and 11,016.42

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Solution

The fourth proportional to 11,542.32, 15,930.46 and 11,016.42 is: 15,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.32 : 15,930.46 = 11,016.42 : x
  2. Step 2: Convert to fraction form
    11,542.32/15,930.46 = 11,016.42/x
  3. Step 3: Cross multiply
    11,542.32x = 15,930.46 × 11,016.42
  4. Step 4: Simplify right side
    11,542.32x = 175,496,638.15
  5. Step 5: Solve for x
    x = 175,496,638.15/11,542.32
  6. Step 6: Final answer
    x = 15,204.62

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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.