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Finding the Fourth Proportional to 11,517.30, 15,893.24 and 6,481.74

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Solution

The fourth proportional to 11,517.30, 15,893.24 and 6,481.74 is: 8,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.30 : 15,893.24 = 6,481.74 : x
  2. Step 2: Convert to fraction form
    11,517.30/15,893.24 = 6,481.74/x
  3. Step 3: Cross multiply
    11,517.30x = 15,893.24 × 6,481.74
  4. Step 4: Simplify right side
    11,517.30x = 103,015,849.44
  5. Step 5: Solve for x
    x = 103,015,849.44/11,517.30
  6. Step 6: Final answer
    x = 8,944.44

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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.