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Finding the Fourth Proportional to 8,512.31, 12,768.47 and 2,272.34

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Solution

The fourth proportional to 8,512.31, 12,768.47 and 2,272.34 is: 3,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.31 : 12,768.47 = 2,272.34 : x
  2. Step 2: Convert to fraction form
    8,512.31/12,768.47 = 2,272.34/x
  3. Step 3: Cross multiply
    8,512.31x = 12,768.47 × 2,272.34
  4. Step 4: Simplify right side
    8,512.31x = 29,014,229.92
  5. Step 5: Solve for x
    x = 29,014,229.92/8,512.31
  6. Step 6: Final answer
    x = 3,408.50

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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.