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Finding the Fourth Proportional to 11,517.14, 15,892.62 and 6,481.76

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Solution

The fourth proportional to 11,517.14, 15,892.62 and 6,481.76 is: 8,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.14 : 15,892.62 = 6,481.76 : x
  2. Step 2: Convert to fraction form
    11,517.14/15,892.62 = 6,481.76/x
  3. Step 3: Cross multiply
    11,517.14x = 15,892.62 × 6,481.76
  4. Step 4: Simplify right side
    11,517.14x = 103,012,148.61
  5. Step 5: Solve for x
    x = 103,012,148.61/11,517.14
  6. Step 6: Final answer
    x = 8,944.25

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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.