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Finding the Fourth Proportional to 10,493.56, 15,737.92 and 2,996.98

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Solution

The fourth proportional to 10,493.56, 15,737.92 and 2,996.98 is: 4,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.56 : 15,737.92 = 2,996.98 : x
  2. Step 2: Convert to fraction form
    10,493.56/15,737.92 = 2,996.98/x
  3. Step 3: Cross multiply
    10,493.56x = 15,737.92 × 2,996.98
  4. Step 4: Simplify right side
    10,493.56x = 47,166,231.48
  5. Step 5: Solve for x
    x = 47,166,231.48/10,493.56
  6. Step 6: Final answer
    x = 4,494.78

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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.