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Finding the Fourth Proportional to 11,682.75, 16,121.75 and 6,377.61

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Solution

The fourth proportional to 11,682.75, 16,121.75 and 6,377.61 is: 8,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.75 : 16,121.75 = 6,377.61 : x
  2. Step 2: Convert to fraction form
    11,682.75/16,121.75 = 6,377.61/x
  3. Step 3: Cross multiply
    11,682.75x = 16,121.75 × 6,377.61
  4. Step 4: Simplify right side
    11,682.75x = 102,818,207.78
  5. Step 5: Solve for x
    x = 102,818,207.78/11,682.75
  6. Step 6: Final answer
    x = 8,800.85

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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.