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Finding the Fourth Proportional to 8,041.44, 12,062.70 and 2,197.92

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Solution

The fourth proportional to 8,041.44, 12,062.70 and 2,197.92 is: 3,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.44 : 12,062.70 = 2,197.92 : x
  2. Step 2: Convert to fraction form
    8,041.44/12,062.70 = 2,197.92/x
  3. Step 3: Cross multiply
    8,041.44x = 12,062.70 × 2,197.92
  4. Step 4: Simplify right side
    8,041.44x = 26,512,849.58
  5. Step 5: Solve for x
    x = 26,512,849.58/8,041.44
  6. Step 6: Final answer
    x = 3,297.03

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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.