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Finding the Fourth Proportional to 10,863.68, 16,298.40 and 3,939.20

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Solution

The fourth proportional to 10,863.68, 16,298.40 and 3,939.20 is: 5,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.68 : 16,298.40 = 3,939.20 : x
  2. Step 2: Convert to fraction form
    10,863.68/16,298.40 = 3,939.20/x
  3. Step 3: Cross multiply
    10,863.68x = 16,298.40 × 3,939.20
  4. Step 4: Simplify right side
    10,863.68x = 64,202,657.28
  5. Step 5: Solve for x
    x = 64,202,657.28/10,863.68
  6. Step 6: Final answer
    x = 5,909.84

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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.