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Finding the Fourth Proportional to 12,167.89, 16,787.76 and 6,789.46

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Solution

The fourth proportional to 12,167.89, 16,787.76 and 6,789.46 is: 9,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.89 : 16,787.76 = 6,789.46 : x
  2. Step 2: Convert to fraction form
    12,167.89/16,787.76 = 6,789.46/x
  3. Step 3: Cross multiply
    12,167.89x = 16,787.76 × 6,789.46
  4. Step 4: Simplify right side
    12,167.89x = 113,979,757.58
  5. Step 5: Solve for x
    x = 113,979,757.58/12,167.89
  6. Step 6: Final answer
    x = 9,367.26

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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.