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Finding the Fourth Proportional to 8,000.38, 12,000.46 and 3,614.77

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Solution

The fourth proportional to 8,000.38, 12,000.46 and 3,614.77 is: 5,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.38 : 12,000.46 = 3,614.77 : x
  2. Step 2: Convert to fraction form
    8,000.38/12,000.46 = 3,614.77/x
  3. Step 3: Cross multiply
    8,000.38x = 12,000.46 × 3,614.77
  4. Step 4: Simplify right side
    8,000.38x = 43,378,902.79
  5. Step 5: Solve for x
    x = 43,378,902.79/8,000.38
  6. Step 6: Final answer
    x = 5,422.11

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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.