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Finding the Fourth Proportional to 8,381.18, 12,573.12 and 2,834.85

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Solution

The fourth proportional to 8,381.18, 12,573.12 and 2,834.85 is: 4,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.18 : 12,573.12 = 2,834.85 : x
  2. Step 2: Convert to fraction form
    8,381.18/12,573.12 = 2,834.85/x
  3. Step 3: Cross multiply
    8,381.18x = 12,573.12 × 2,834.85
  4. Step 4: Simplify right side
    8,381.18x = 35,642,909.23
  5. Step 5: Solve for x
    x = 35,642,909.23/8,381.18
  6. Step 6: Final answer
    x = 4,252.73

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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.