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Finding the Fourth Proportional to 12,166.12, 16,787.82 and 6,860.62

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Solution

The fourth proportional to 12,166.12, 16,787.82 and 6,860.62 is: 9,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.12 : 16,787.82 = 6,860.62 : x
  2. Step 2: Convert to fraction form
    12,166.12/16,787.82 = 6,860.62/x
  3. Step 3: Cross multiply
    12,166.12x = 16,787.82 × 6,860.62
  4. Step 4: Simplify right side
    12,166.12x = 115,174,853.65
  5. Step 5: Solve for x
    x = 115,174,853.65/12,166.12
  6. Step 6: Final answer
    x = 9,466.85

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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.