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Finding the Fourth Proportional to 11,687.60, 16,129.17 and 6,382.46

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Solution

The fourth proportional to 11,687.60, 16,129.17 and 6,382.46 is: 8,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.60 : 16,129.17 = 6,382.46 : x
  2. Step 2: Convert to fraction form
    11,687.60/16,129.17 = 6,382.46/x
  3. Step 3: Cross multiply
    11,687.60x = 16,129.17 × 6,382.46
  4. Step 4: Simplify right side
    11,687.60x = 102,943,822.68
  5. Step 5: Solve for x
    x = 102,943,822.68/11,687.60
  6. Step 6: Final answer
    x = 8,807.95

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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.