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Finding the Fourth Proportional to 11,418.57, 15,760.26 and 7,432.74

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Solution

The fourth proportional to 11,418.57, 15,760.26 and 7,432.74 is: 10,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.57 : 15,760.26 = 7,432.74 : x
  2. Step 2: Convert to fraction form
    11,418.57/15,760.26 = 7,432.74/x
  3. Step 3: Cross multiply
    11,418.57x = 15,760.26 × 7,432.74
  4. Step 4: Simplify right side
    11,418.57x = 117,141,914.91
  5. Step 5: Solve for x
    x = 117,141,914.91/11,418.57
  6. Step 6: Final answer
    x = 10,258.90

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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.