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Finding the Fourth Proportional to 11,672.31, 16,107.48 and 6,367.23

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Solution

The fourth proportional to 11,672.31, 16,107.48 and 6,367.23 is: 8,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.31 : 16,107.48 = 6,367.23 : x
  2. Step 2: Convert to fraction form
    11,672.31/16,107.48 = 6,367.23/x
  3. Step 3: Cross multiply
    11,672.31x = 16,107.48 × 6,367.23
  4. Step 4: Simplify right side
    11,672.31x = 102,560,029.88
  5. Step 5: Solve for x
    x = 102,560,029.88/11,672.31
  6. Step 6: Final answer
    x = 8,786.61

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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.