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Finding the Fourth Proportional to 10,367.43, 15,523.80 and 8,162.20

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Solution

The fourth proportional to 10,367.43, 15,523.80 and 8,162.20 is: 12,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.43 : 15,523.80 = 8,162.20 : x
  2. Step 2: Convert to fraction form
    10,367.43/15,523.80 = 8,162.20/x
  3. Step 3: Cross multiply
    10,367.43x = 15,523.80 × 8,162.20
  4. Step 4: Simplify right side
    10,367.43x = 126,708,360.36
  5. Step 5: Solve for x
    x = 126,708,360.36/10,367.43
  6. Step 6: Final answer
    x = 12,221.77

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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.