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Finding the Fourth Proportional to 11,729.10, 16,184.97 and 6,694.41

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Solution

The fourth proportional to 11,729.10, 16,184.97 and 6,694.41 is: 9,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.10 : 16,184.97 = 6,694.41 : x
  2. Step 2: Convert to fraction form
    11,729.10/16,184.97 = 6,694.41/x
  3. Step 3: Cross multiply
    11,729.10x = 16,184.97 × 6,694.41
  4. Step 4: Simplify right side
    11,729.10x = 108,348,825.02
  5. Step 5: Solve for x
    x = 108,348,825.02/11,729.10
  6. Step 6: Final answer
    x = 9,237.61

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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.