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Finding the Fourth Proportional to 8,022.84, 12,033.18 and 2,828.04

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Solution

The fourth proportional to 8,022.84, 12,033.18 and 2,828.04 is: 4,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.84 : 12,033.18 = 2,828.04 : x
  2. Step 2: Convert to fraction form
    8,022.84/12,033.18 = 2,828.04/x
  3. Step 3: Cross multiply
    8,022.84x = 12,033.18 × 2,828.04
  4. Step 4: Simplify right side
    8,022.84x = 34,030,314.37
  5. Step 5: Solve for x
    x = 34,030,314.37/8,022.84
  6. Step 6: Final answer
    x = 4,241.68

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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.