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Finding the Fourth Proportional to 11,672.40, 16,107.42 and 6,367.08

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Solution

The fourth proportional to 11,672.40, 16,107.42 and 6,367.08 is: 8,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.40 : 16,107.42 = 6,367.08 : x
  2. Step 2: Convert to fraction form
    11,672.40/16,107.42 = 6,367.08/x
  3. Step 3: Cross multiply
    11,672.40x = 16,107.42 × 6,367.08
  4. Step 4: Simplify right side
    11,672.40x = 102,557,231.73
  5. Step 5: Solve for x
    x = 102,557,231.73/11,672.40
  6. Step 6: Final answer
    x = 8,786.30

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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.