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Finding the Fourth Proportional to 10,806.44, 16,193.46 and 8,337.56

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Solution

The fourth proportional to 10,806.44, 16,193.46 and 8,337.56 is: 12,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.44 : 16,193.46 = 8,337.56 : x
  2. Step 2: Convert to fraction form
    10,806.44/16,193.46 = 8,337.56/x
  3. Step 3: Cross multiply
    10,806.44x = 16,193.46 × 8,337.56
  4. Step 4: Simplify right side
    10,806.44x = 135,013,944.36
  5. Step 5: Solve for x
    x = 135,013,944.36/10,806.44
  6. Step 6: Final answer
    x = 12,493.84

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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.