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Finding the Fourth Proportional to 8,000.31, 12,000.38 and 3,614.70

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Solution

The fourth proportional to 8,000.31, 12,000.38 and 3,614.70 is: 5,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.31 : 12,000.38 = 3,614.70 : x
  2. Step 2: Convert to fraction form
    8,000.31/12,000.38 = 3,614.70/x
  3. Step 3: Cross multiply
    8,000.31x = 12,000.38 × 3,614.70
  4. Step 4: Simplify right side
    8,000.31x = 43,377,755.51
  5. Step 5: Solve for x
    x = 43,377,755.51/8,000.31
  6. Step 6: Final answer
    x = 5,422.01

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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.