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Finding the Fourth Proportional to 8,034.97, 12,042.73 and 3,408.25

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Solution

The fourth proportional to 8,034.97, 12,042.73 and 3,408.25 is: 5,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.97 : 12,042.73 = 3,408.25 : x
  2. Step 2: Convert to fraction form
    8,034.97/12,042.73 = 3,408.25/x
  3. Step 3: Cross multiply
    8,034.97x = 12,042.73 × 3,408.25
  4. Step 4: Simplify right side
    8,034.97x = 41,044,634.52
  5. Step 5: Solve for x
    x = 41,044,634.52/8,034.97
  6. Step 6: Final answer
    x = 5,108.25

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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.