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Finding the Fourth Proportional to 11,863.68, 16,382.40 and 7,681.92

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Solution

The fourth proportional to 11,863.68, 16,382.40 and 7,681.92 is: 10,607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.68 : 16,382.40 = 7,681.92 : x
  2. Step 2: Convert to fraction form
    11,863.68/16,382.40 = 7,681.92/x
  3. Step 3: Cross multiply
    11,863.68x = 16,382.40 × 7,681.92
  4. Step 4: Simplify right side
    11,863.68x = 125,848,286.21
  5. Step 5: Solve for x
    x = 125,848,286.21/11,863.68
  6. Step 6: Final answer
    x = 10,607.86

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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.