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Finding the Fourth Proportional to 10,863.28, 16,295.22 and 3,842.30

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Solution

The fourth proportional to 10,863.28, 16,295.22 and 3,842.30 is: 5,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.28 : 16,295.22 = 3,842.30 : x
  2. Step 2: Convert to fraction form
    10,863.28/16,295.22 = 3,842.30/x
  3. Step 3: Cross multiply
    10,863.28x = 16,295.22 × 3,842.30
  4. Step 4: Simplify right side
    10,863.28x = 62,611,073.46
  5. Step 5: Solve for x
    x = 62,611,073.46/10,863.28
  6. Step 6: Final answer
    x = 5,763.55

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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.