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Finding the Fourth Proportional to 8,380.42, 12,571.99 and 2,834.10

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Solution

The fourth proportional to 8,380.42, 12,571.99 and 2,834.10 is: 4,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.42 : 12,571.99 = 2,834.10 : x
  2. Step 2: Convert to fraction form
    8,380.42/12,571.99 = 2,834.10/x
  3. Step 3: Cross multiply
    8,380.42x = 12,571.99 × 2,834.10
  4. Step 4: Simplify right side
    8,380.42x = 35,630,269.77
  5. Step 5: Solve for x
    x = 35,630,269.77/8,380.42
  6. Step 6: Final answer
    x = 4,251.61

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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.