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Finding the Fourth Proportional to 10,838.80, 16,233.90 and 8,360.20

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Solution

The fourth proportional to 10,838.80, 16,233.90 and 8,360.20 is: 12,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.80 : 16,233.90 = 8,360.20 : x
  2. Step 2: Convert to fraction form
    10,838.80/16,233.90 = 8,360.20/x
  3. Step 3: Cross multiply
    10,838.80x = 16,233.90 × 8,360.20
  4. Step 4: Simplify right side
    10,838.80x = 135,718,650.78
  5. Step 5: Solve for x
    x = 135,718,650.78/10,838.80
  6. Step 6: Final answer
    x = 12,521.56

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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.