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Finding the Fourth Proportional to 11,481.80, 15,846.42 and 6,446.29

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Solution

The fourth proportional to 11,481.80, 15,846.42 and 6,446.29 is: 8,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.80 : 15,846.42 = 6,446.29 : x
  2. Step 2: Convert to fraction form
    11,481.80/15,846.42 = 6,446.29/x
  3. Step 3: Cross multiply
    11,481.80x = 15,846.42 × 6,446.29
  4. Step 4: Simplify right side
    11,481.80x = 102,150,618.78
  5. Step 5: Solve for x
    x = 102,150,618.78/11,481.80
  6. Step 6: Final answer
    x = 8,896.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.