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Finding the Fourth Proportional to 10,819.96, 16,228.47 and 4,250.77

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Solution

The fourth proportional to 10,819.96, 16,228.47 and 4,250.77 is: 6,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.96 : 16,228.47 = 4,250.77 : x
  2. Step 2: Convert to fraction form
    10,819.96/16,228.47 = 4,250.77/x
  3. Step 3: Cross multiply
    10,819.96x = 16,228.47 × 4,250.77
  4. Step 4: Simplify right side
    10,819.96x = 68,983,493.42
  5. Step 5: Solve for x
    x = 68,983,493.42/10,819.96
  6. Step 6: Final answer
    x = 6,375.58

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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.