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Finding the Fourth Proportional to 8,027.84, 12,043.60 and 2,834.16

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Solution

The fourth proportional to 8,027.84, 12,043.60 and 2,834.16 is: 4,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.84 : 12,043.60 = 2,834.16 : x
  2. Step 2: Convert to fraction form
    8,027.84/12,043.60 = 2,834.16/x
  3. Step 3: Cross multiply
    8,027.84x = 12,043.60 × 2,834.16
  4. Step 4: Simplify right side
    8,027.84x = 34,133,489.38
  5. Step 5: Solve for x
    x = 34,133,489.38/8,027.84
  6. Step 6: Final answer
    x = 4,251.89

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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.