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Finding the Fourth Proportional to 10,377.28, 14,251.04 and 8,885.20

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Solution

The fourth proportional to 10,377.28, 14,251.04 and 8,885.20 is: 12,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.28 : 14,251.04 = 8,885.20 : x
  2. Step 2: Convert to fraction form
    10,377.28/14,251.04 = 8,885.20/x
  3. Step 3: Cross multiply
    10,377.28x = 14,251.04 × 8,885.20
  4. Step 4: Simplify right side
    10,377.28x = 126,623,340.61
  5. Step 5: Solve for x
    x = 126,623,340.61/10,377.28
  6. Step 6: Final answer
    x = 12,201.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.