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Finding the Fourth Proportional to 10,872.96, 16,315.20 and 8,105.28

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Solution

The fourth proportional to 10,872.96, 16,315.20 and 8,105.28 is: 12,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.96 : 16,315.20 = 8,105.28 : x
  2. Step 2: Convert to fraction form
    10,872.96/16,315.20 = 8,105.28/x
  3. Step 3: Cross multiply
    10,872.96x = 16,315.20 × 8,105.28
  4. Step 4: Simplify right side
    10,872.96x = 132,239,264.26
  5. Step 5: Solve for x
    x = 132,239,264.26/10,872.96
  6. Step 6: Final answer
    x = 12,162.21

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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.