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Finding the Fourth Proportional to 10,819.12, 16,230.68 and 3,425.44

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Solution

The fourth proportional to 10,819.12, 16,230.68 and 3,425.44 is: 5,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.12 : 16,230.68 = 3,425.44 : x
  2. Step 2: Convert to fraction form
    10,819.12/16,230.68 = 3,425.44/x
  3. Step 3: Cross multiply
    10,819.12x = 16,230.68 × 3,425.44
  4. Step 4: Simplify right side
    10,819.12x = 55,597,220.50
  5. Step 5: Solve for x
    x = 55,597,220.50/10,819.12
  6. Step 6: Final answer
    x = 5,138.79

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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.