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Finding the Fourth Proportional to 10,863.41, 16,287.12 and 3,463.61

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Solution

The fourth proportional to 10,863.41, 16,287.12 and 3,463.61 is: 5,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.41 : 16,287.12 = 3,463.61 : x
  2. Step 2: Convert to fraction form
    10,863.41/16,287.12 = 3,463.61/x
  3. Step 3: Cross multiply
    10,863.41x = 16,287.12 × 3,463.61
  4. Step 4: Simplify right side
    10,863.41x = 56,412,150.27
  5. Step 5: Solve for x
    x = 56,412,150.27/10,863.41
  6. Step 6: Final answer
    x = 5,192.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.