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Finding the Fourth Proportional to 11,894.83, 16,414.32 and 6,517.24

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Solution

The fourth proportional to 11,894.83, 16,414.32 and 6,517.24 is: 8,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.83 : 16,414.32 = 6,517.24 : x
  2. Step 2: Convert to fraction form
    11,894.83/16,414.32 = 6,517.24/x
  3. Step 3: Cross multiply
    11,894.83x = 16,414.32 × 6,517.24
  4. Step 4: Simplify right side
    11,894.83x = 106,976,062.88
  5. Step 5: Solve for x
    x = 106,976,062.88/11,894.83
  6. Step 6: Final answer
    x = 8,993.49

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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.