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Finding the Fourth Proportional to 11,516.71, 15,894.48 and 6,481.15

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Solution

The fourth proportional to 11,516.71, 15,894.48 and 6,481.15 is: 8,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.71 : 15,894.48 = 6,481.15 : x
  2. Step 2: Convert to fraction form
    11,516.71/15,894.48 = 6,481.15/x
  3. Step 3: Cross multiply
    11,516.71x = 15,894.48 × 6,481.15
  4. Step 4: Simplify right side
    11,516.71x = 103,014,509.05
  5. Step 5: Solve for x
    x = 103,014,509.05/11,516.71
  6. Step 6: Final answer
    x = 8,944.79

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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.