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Finding the Fourth Proportional to 12,166.44, 16,789.73 and 6,861.26

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Solution

The fourth proportional to 12,166.44, 16,789.73 and 6,861.26 is: 9,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.44 : 16,789.73 = 6,861.26 : x
  2. Step 2: Convert to fraction form
    12,166.44/16,789.73 = 6,861.26/x
  3. Step 3: Cross multiply
    12,166.44x = 16,789.73 × 6,861.26
  4. Step 4: Simplify right side
    12,166.44x = 115,198,584.60
  5. Step 5: Solve for x
    x = 115,198,584.60/12,166.44
  6. Step 6: Final answer
    x = 9,468.55

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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.