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Finding the Fourth Proportional to 8,046.71, 12,067.10 and 2,780.37

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Solution

The fourth proportional to 8,046.71, 12,067.10 and 2,780.37 is: 4,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.71 : 12,067.10 = 2,780.37 : x
  2. Step 2: Convert to fraction form
    8,046.71/12,067.10 = 2,780.37/x
  3. Step 3: Cross multiply
    8,046.71x = 12,067.10 × 2,780.37
  4. Step 4: Simplify right side
    8,046.71x = 33,550,988.93
  5. Step 5: Solve for x
    x = 33,550,988.93/8,046.71
  6. Step 6: Final answer
    x = 4,169.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.