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Finding the Fourth Proportional to 11,516.74, 15,893.92 and 6,481.46

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Solution

The fourth proportional to 11,516.74, 15,893.92 and 6,481.46 is: 8,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.74 : 15,893.92 = 6,481.46 : x
  2. Step 2: Convert to fraction form
    11,516.74/15,893.92 = 6,481.46/x
  3. Step 3: Cross multiply
    11,516.74x = 15,893.92 × 6,481.46
  4. Step 4: Simplify right side
    11,516.74x = 103,015,806.72
  5. Step 5: Solve for x
    x = 103,015,806.72/11,516.74
  6. Step 6: Final answer
    x = 8,944.88

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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.