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Finding the Fourth Proportional to 11,786.73, 16,265.24 and 6,481.23

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Solution

The fourth proportional to 11,786.73, 16,265.24 and 6,481.23 is: 8,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.73 : 16,265.24 = 6,481.23 : x
  2. Step 2: Convert to fraction form
    11,786.73/16,265.24 = 6,481.23/x
  3. Step 3: Cross multiply
    11,786.73x = 16,265.24 × 6,481.23
  4. Step 4: Simplify right side
    11,786.73x = 105,418,729.04
  5. Step 5: Solve for x
    x = 105,418,729.04/11,786.73
  6. Step 6: Final answer
    x = 8,943.85

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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.