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Finding the Fourth Proportional to 8,028.42, 12,044.43 and 2,834.34

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Solution

The fourth proportional to 8,028.42, 12,044.43 and 2,834.34 is: 4,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.42 : 12,044.43 = 2,834.34 : x
  2. Step 2: Convert to fraction form
    8,028.42/12,044.43 = 2,834.34/x
  3. Step 3: Cross multiply
    8,028.42x = 12,044.43 × 2,834.34
  4. Step 4: Simplify right side
    8,028.42x = 34,138,009.73
  5. Step 5: Solve for x
    x = 34,138,009.73/8,028.42
  6. Step 6: Final answer
    x = 4,252.15

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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.