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Finding the Fourth Proportional to 8,154.80, 12,234.26 and 2,311.46

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Solution

The fourth proportional to 8,154.80, 12,234.26 and 2,311.46 is: 3,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.80 : 12,234.26 = 2,311.46 : x
  2. Step 2: Convert to fraction form
    8,154.80/12,234.26 = 2,311.46/x
  3. Step 3: Cross multiply
    8,154.80x = 12,234.26 × 2,311.46
  4. Step 4: Simplify right side
    8,154.80x = 28,279,002.62
  5. Step 5: Solve for x
    x = 28,279,002.62/8,154.80
  6. Step 6: Final answer
    x = 3,467.77

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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.