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Finding the Fourth Proportional to 11,517.90, 15,893.46 and 6,481.32

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Solution

The fourth proportional to 11,517.90, 15,893.46 and 6,481.32 is: 8,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.90 : 15,893.46 = 6,481.32 : x
  2. Step 2: Convert to fraction form
    11,517.90/15,893.46 = 6,481.32/x
  3. Step 3: Cross multiply
    11,517.90x = 15,893.46 × 6,481.32
  4. Step 4: Simplify right side
    11,517.90x = 103,010,600.17
  5. Step 5: Solve for x
    x = 103,010,600.17/11,517.90
  6. Step 6: Final answer
    x = 8,943.52

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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.