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Finding the Fourth Proportional to 12,067.75, 16,652.14 and 6,761.80

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Solution

The fourth proportional to 12,067.75, 16,652.14 and 6,761.80 is: 9,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,067.75 : 16,652.14 = 6,761.80 : x
  2. Step 2: Convert to fraction form
    12,067.75/16,652.14 = 6,761.80/x
  3. Step 3: Cross multiply
    12,067.75x = 16,652.14 × 6,761.80
  4. Step 4: Simplify right side
    12,067.75x = 112,598,440.25
  5. Step 5: Solve for x
    x = 112,598,440.25/12,067.75
  6. Step 6: Final answer
    x = 9,330.52

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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.