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Finding the Fourth Proportional to 11,517.12, 15,893.28 and 6,481.62

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Solution

The fourth proportional to 11,517.12, 15,893.28 and 6,481.62 is: 8,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.12 : 15,893.28 = 6,481.62 : x
  2. Step 2: Convert to fraction form
    11,517.12/15,893.28 = 6,481.62/x
  3. Step 3: Cross multiply
    11,517.12x = 15,893.28 × 6,481.62
  4. Step 4: Simplify right side
    11,517.12x = 103,014,201.51
  5. Step 5: Solve for x
    x = 103,014,201.51/11,517.12
  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.