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Finding the Fourth Proportional to 11,682.68, 16,122.14 and 6,377.48

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Solution

The fourth proportional to 11,682.68, 16,122.14 and 6,377.48 is: 8,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.68 : 16,122.14 = 6,377.48 : x
  2. Step 2: Convert to fraction form
    11,682.68/16,122.14 = 6,377.48/x
  3. Step 3: Cross multiply
    11,682.68x = 16,122.14 × 6,377.48
  4. Step 4: Simplify right side
    11,682.68x = 102,818,687.97
  5. Step 5: Solve for x
    x = 102,818,687.97/11,682.68
  6. Step 6: Final answer
    x = 8,800.95

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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.