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Finding the Fourth Proportional to 11,517.28, 15,893.65 and 6,481.49

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Solution

The fourth proportional to 11,517.28, 15,893.65 and 6,481.49 is: 8,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.28 : 15,893.65 = 6,481.49 : x
  2. Step 2: Convert to fraction form
    11,517.28/15,893.65 = 6,481.49/x
  3. Step 3: Cross multiply
    11,517.28x = 15,893.65 × 6,481.49
  4. Step 4: Simplify right side
    11,517.28x = 103,014,501.13
  5. Step 5: Solve for x
    x = 103,014,501.13/11,517.28
  6. Step 6: Final answer
    x = 8,944.35

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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.