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Finding the Fourth Proportional to 11,456.92, 17,181.66 and 3,663.88

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Solution

The fourth proportional to 11,456.92, 17,181.66 and 3,663.88 is: 5,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.92 : 17,181.66 = 3,663.88 : x
  2. Step 2: Convert to fraction form
    11,456.92/17,181.66 = 3,663.88/x
  3. Step 3: Cross multiply
    11,456.92x = 17,181.66 × 3,663.88
  4. Step 4: Simplify right side
    11,456.92x = 62,951,540.44
  5. Step 5: Solve for x
    x = 62,951,540.44/11,456.92
  6. Step 6: Final answer
    x = 5,494.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.