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Finding the Fourth Proportional to 8,272.33, 12,408.19 and 2,032.36

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Solution

The fourth proportional to 8,272.33, 12,408.19 and 2,032.36 is: 3,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.33 : 12,408.19 = 2,032.36 : x
  2. Step 2: Convert to fraction form
    8,272.33/12,408.19 = 2,032.36/x
  3. Step 3: Cross multiply
    8,272.33x = 12,408.19 × 2,032.36
  4. Step 4: Simplify right side
    8,272.33x = 25,217,872.93
  5. Step 5: Solve for x
    x = 25,217,872.93/8,272.33
  6. Step 6: Final answer
    x = 3,048.46

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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.