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Finding the Fourth Proportional to 10,819.56, 16,233.22 and 4,250.22

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Solution

The fourth proportional to 10,819.56, 16,233.22 and 4,250.22 is: 6,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.56 : 16,233.22 = 4,250.22 : x
  2. Step 2: Convert to fraction form
    10,819.56/16,233.22 = 4,250.22/x
  3. Step 3: Cross multiply
    10,819.56x = 16,233.22 × 4,250.22
  4. Step 4: Simplify right side
    10,819.56x = 68,994,756.31
  5. Step 5: Solve for x
    x = 68,994,756.31/10,819.56
  6. Step 6: Final answer
    x = 6,376.85

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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.