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Finding the Fourth Proportional to 11,786.35, 16,265.87 and 6,481.57

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Solution

The fourth proportional to 11,786.35, 16,265.87 and 6,481.57 is: 8,944.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.35 : 16,265.87 = 6,481.57 : x
  2. Step 2: Convert to fraction form
    11,786.35/16,265.87 = 6,481.57/x
  3. Step 3: Cross multiply
    11,786.35x = 16,265.87 × 6,481.57
  4. Step 4: Simplify right side
    11,786.35x = 105,428,375.02
  5. Step 5: Solve for x
    x = 105,428,375.02/11,786.35
  6. Step 6: Final answer
    x = 8,944.96

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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.