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Finding the Fourth Proportional to 10,481.46, 15,723.76 and 3,462.22

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Solution

The fourth proportional to 10,481.46, 15,723.76 and 3,462.22 is: 5,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.46 : 15,723.76 = 3,462.22 : x
  2. Step 2: Convert to fraction form
    10,481.46/15,723.76 = 3,462.22/x
  3. Step 3: Cross multiply
    10,481.46x = 15,723.76 × 3,462.22
  4. Step 4: Simplify right side
    10,481.46x = 54,439,116.35
  5. Step 5: Solve for x
    x = 54,439,116.35/10,481.46
  6. Step 6: Final answer
    x = 5,193.85

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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.