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Finding the Fourth Proportional to 8,028.24, 12,043.98 and 2,834.52

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Solution

The fourth proportional to 8,028.24, 12,043.98 and 2,834.52 is: 4,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.24 : 12,043.98 = 2,834.52 : x
  2. Step 2: Convert to fraction form
    8,028.24/12,043.98 = 2,834.52/x
  3. Step 3: Cross multiply
    8,028.24x = 12,043.98 × 2,834.52
  4. Step 4: Simplify right side
    8,028.24x = 34,138,902.19
  5. Step 5: Solve for x
    x = 34,138,902.19/8,028.24
  6. Step 6: Final answer
    x = 4,252.35

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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.