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Finding the Fourth Proportional to 11,517.25, 15,894.61 and 6,481.95

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Solution

The fourth proportional to 11,517.25, 15,894.61 and 6,481.95 is: 8,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.25 : 15,894.61 = 6,481.95 : x
  2. Step 2: Convert to fraction form
    11,517.25/15,894.61 = 6,481.95/x
  3. Step 3: Cross multiply
    11,517.25x = 15,894.61 × 6,481.95
  4. Step 4: Simplify right side
    11,517.25x = 103,028,034.88
  5. Step 5: Solve for x
    x = 103,028,034.88/11,517.25
  6. Step 6: Final answer
    x = 8,945.55

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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.