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Finding the Fourth Proportional to 11,761.48, 16,231.20 and 6,456.64

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Solution

The fourth proportional to 11,761.48, 16,231.20 and 6,456.64 is: 8,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.48 : 16,231.20 = 6,456.64 : x
  2. Step 2: Convert to fraction form
    11,761.48/16,231.20 = 6,456.64/x
  3. Step 3: Cross multiply
    11,761.48x = 16,231.20 × 6,456.64
  4. Step 4: Simplify right side
    11,761.48x = 104,799,015.17
  5. Step 5: Solve for x
    x = 104,799,015.17/11,761.48
  6. Step 6: Final answer
    x = 8,910.36

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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.