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Finding the Fourth Proportional to 10,822.88, 16,234.28 and 2,614.88

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Solution

The fourth proportional to 10,822.88, 16,234.28 and 2,614.88 is: 3,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.88 : 16,234.28 = 2,614.88 : x
  2. Step 2: Convert to fraction form
    10,822.88/16,234.28 = 2,614.88/x
  3. Step 3: Cross multiply
    10,822.88x = 16,234.28 × 2,614.88
  4. Step 4: Simplify right side
    10,822.88x = 42,450,694.09
  5. Step 5: Solve for x
    x = 42,450,694.09/10,822.88
  6. Step 6: Final answer
    x = 3,922.31

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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.