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Finding the Fourth Proportional to 8,493.92, 12,743.04 and 2,650.58

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Solution

The fourth proportional to 8,493.92, 12,743.04 and 2,650.58 is: 3,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.92 : 12,743.04 = 2,650.58 : x
  2. Step 2: Convert to fraction form
    8,493.92/12,743.04 = 2,650.58/x
  3. Step 3: Cross multiply
    8,493.92x = 12,743.04 × 2,650.58
  4. Step 4: Simplify right side
    8,493.92x = 33,776,383.25
  5. Step 5: Solve for x
    x = 33,776,383.25/8,493.92
  6. Step 6: Final answer
    x = 3,976.54

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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.