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Finding the Fourth Proportional to 8,022.60, 12,033.90 and 2,827.80

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Solution

The fourth proportional to 8,022.60, 12,033.90 and 2,827.80 is: 4,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.60 : 12,033.90 = 2,827.80 : x
  2. Step 2: Convert to fraction form
    8,022.60/12,033.90 = 2,827.80/x
  3. Step 3: Cross multiply
    8,022.60x = 12,033.90 × 2,827.80
  4. Step 4: Simplify right side
    8,022.60x = 34,029,462.42
  5. Step 5: Solve for x
    x = 34,029,462.42/8,022.60
  6. Step 6: Final answer
    x = 4,241.70

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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.