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Finding the Fourth Proportional to 8,102.82, 12,149.03 and 3,421.55

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Solution

The fourth proportional to 8,102.82, 12,149.03 and 3,421.55 is: 5,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.82 : 12,149.03 = 3,421.55 : x
  2. Step 2: Convert to fraction form
    8,102.82/12,149.03 = 3,421.55/x
  3. Step 3: Cross multiply
    8,102.82x = 12,149.03 × 3,421.55
  4. Step 4: Simplify right side
    8,102.82x = 41,568,435.74
  5. Step 5: Solve for x
    x = 41,568,435.74/8,102.82
  6. Step 6: Final answer
    x = 5,130.12

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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.