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Finding the Fourth Proportional to 8,114.75, 12,174.29 and 2,568.20

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Solution

The fourth proportional to 8,114.75, 12,174.29 and 2,568.20 is: 3,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.75 : 12,174.29 = 2,568.20 : x
  2. Step 2: Convert to fraction form
    8,114.75/12,174.29 = 2,568.20/x
  3. Step 3: Cross multiply
    8,114.75x = 12,174.29 × 2,568.20
  4. Step 4: Simplify right side
    8,114.75x = 31,265,937.87
  5. Step 5: Solve for x
    x = 31,265,937.87/8,114.75
  6. Step 6: Final answer
    x = 3,852.97

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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.