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Finding the Fourth Proportional to 12,165.26, 16,787.97 and 6,860.06

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Solution

The fourth proportional to 12,165.26, 16,787.97 and 6,860.06 is: 9,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.26 : 16,787.97 = 6,860.06 : x
  2. Step 2: Convert to fraction form
    12,165.26/16,787.97 = 6,860.06/x
  3. Step 3: Cross multiply
    12,165.26x = 16,787.97 × 6,860.06
  4. Step 4: Simplify right side
    12,165.26x = 115,166,481.48
  5. Step 5: Solve for x
    x = 115,166,481.48/12,165.26
  6. Step 6: Final answer
    x = 9,466.83

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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.