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Finding the Fourth Proportional to 8,380.67, 12,572.36 and 2,834.35

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Solution

The fourth proportional to 8,380.67, 12,572.36 and 2,834.35 is: 4,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.67 : 12,572.36 = 2,834.35 : x
  2. Step 2: Convert to fraction form
    8,380.67/12,572.36 = 2,834.35/x
  3. Step 3: Cross multiply
    8,380.67x = 12,572.36 × 2,834.35
  4. Step 4: Simplify right side
    8,380.67x = 35,634,468.57
  5. Step 5: Solve for x
    x = 35,634,468.57/8,380.67
  6. Step 6: Final answer
    x = 4,251.98

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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.