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Finding the Fourth Proportional to 11,687.34, 16,128.81 and 6,382.11

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Solution

The fourth proportional to 11,687.34, 16,128.81 and 6,382.11 is: 8,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.34 : 16,128.81 = 6,382.11 : x
  2. Step 2: Convert to fraction form
    11,687.34/16,128.81 = 6,382.11/x
  3. Step 3: Cross multiply
    11,687.34x = 16,128.81 × 6,382.11
  4. Step 4: Simplify right side
    11,687.34x = 102,935,839.59
  5. Step 5: Solve for x
    x = 102,935,839.59/11,687.34
  6. Step 6: Final answer
    x = 8,807.47

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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.