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Finding the Fourth Proportional to 11,517.32, 15,894.22 and 6,481.72

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Solution

The fourth proportional to 11,517.32, 15,894.22 and 6,481.72 is: 8,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.32 : 15,894.22 = 6,481.72 : x
  2. Step 2: Convert to fraction form
    11,517.32/15,894.22 = 6,481.72/x
  3. Step 3: Cross multiply
    11,517.32x = 15,894.22 × 6,481.72
  4. Step 4: Simplify right side
    11,517.32x = 103,021,881.25
  5. Step 5: Solve for x
    x = 103,021,881.25/11,517.32
  6. Step 6: Final answer
    x = 8,944.95

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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.