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Finding the Fourth Proportional to 11,672.73, 16,107.96 and 6,367.44

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Solution

The fourth proportional to 11,672.73, 16,107.96 and 6,367.44 is: 8,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.73 : 16,107.96 = 6,367.44 : x
  2. Step 2: Convert to fraction form
    11,672.73/16,107.96 = 6,367.44/x
  3. Step 3: Cross multiply
    11,672.73x = 16,107.96 × 6,367.44
  4. Step 4: Simplify right side
    11,672.73x = 102,566,468.82
  5. Step 5: Solve for x
    x = 102,566,468.82/11,672.73
  6. Step 6: Final answer
    x = 8,786.84

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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.