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Finding the Fourth Proportional to 11,474.92, 15,732.25 and 11,267.56

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Solution

The fourth proportional to 11,474.92, 15,732.25 and 11,267.56 is: 15,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.92 : 15,732.25 = 11,267.56 : x
  2. Step 2: Convert to fraction form
    11,474.92/15,732.25 = 11,267.56/x
  3. Step 3: Cross multiply
    11,474.92x = 15,732.25 × 11,267.56
  4. Step 4: Simplify right side
    11,474.92x = 177,264,070.81
  5. Step 5: Solve for x
    x = 177,264,070.81/11,474.92
  6. Step 6: Final answer
    x = 15,447.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.