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Finding the Fourth Proportional to 8,272.68, 12,408.74 and 2,032.68

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Solution

The fourth proportional to 8,272.68, 12,408.74 and 2,032.68 is: 3,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.68 : 12,408.74 = 2,032.68 : x
  2. Step 2: Convert to fraction form
    8,272.68/12,408.74 = 2,032.68/x
  3. Step 3: Cross multiply
    8,272.68x = 12,408.74 × 2,032.68
  4. Step 4: Simplify right side
    8,272.68x = 25,222,997.62
  5. Step 5: Solve for x
    x = 25,222,997.62/8,272.68
  6. Step 6: Final answer
    x = 3,048.95

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Why These Related Problems?

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