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Finding the Fourth Proportional to 10,822.67, 16,234.46 and 4,250.28

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Solution

The fourth proportional to 10,822.67, 16,234.46 and 4,250.28 is: 6,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.67 : 16,234.46 = 4,250.28 : x
  2. Step 2: Convert to fraction form
    10,822.67/16,234.46 = 4,250.28/x
  3. Step 3: Cross multiply
    10,822.67x = 16,234.46 × 4,250.28
  4. Step 4: Simplify right side
    10,822.67x = 69,000,919.48
  5. Step 5: Solve for x
    x = 69,000,919.48/10,822.67
  6. Step 6: Final answer
    x = 6,375.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.