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Finding the Fourth Proportional to 10,371.30, 15,524.55 and 8,168.10

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Solution

The fourth proportional to 10,371.30, 15,524.55 and 8,168.10 is: 12,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.30 : 15,524.55 = 8,168.10 : x
  2. Step 2: Convert to fraction form
    10,371.30/15,524.55 = 8,168.10/x
  3. Step 3: Cross multiply
    10,371.30x = 15,524.55 × 8,168.10
  4. Step 4: Simplify right side
    10,371.30x = 126,806,076.86
  5. Step 5: Solve for x
    x = 126,806,076.86/10,371.30
  6. Step 6: Final answer
    x = 12,226.63

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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.