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Finding the Fourth Proportional to 11,894.46, 16,414.50 and 6,517.04

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Solution

The fourth proportional to 11,894.46, 16,414.50 and 6,517.04 is: 8,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.46 : 16,414.50 = 6,517.04 : x
  2. Step 2: Convert to fraction form
    11,894.46/16,414.50 = 6,517.04/x
  3. Step 3: Cross multiply
    11,894.46x = 16,414.50 × 6,517.04
  4. Step 4: Simplify right side
    11,894.46x = 106,973,871.01
  5. Step 5: Solve for x
    x = 106,973,871.01/11,894.46
  6. Step 6: Final answer
    x = 8,993.59

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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.