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Finding the Fourth Proportional to 8,020.38, 12,029.22 and 2,175.42

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Solution

The fourth proportional to 8,020.38, 12,029.22 and 2,175.42 is: 3,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.38 : 12,029.22 = 2,175.42 : x
  2. Step 2: Convert to fraction form
    8,020.38/12,029.22 = 2,175.42/x
  3. Step 3: Cross multiply
    8,020.38x = 12,029.22 × 2,175.42
  4. Step 4: Simplify right side
    8,020.38x = 26,168,605.77
  5. Step 5: Solve for x
    x = 26,168,605.77/8,020.38
  6. Step 6: Final answer
    x = 3,262.76

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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.