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Finding the Fourth Proportional to 8,115.21, 12,174.21 and 2,568.47

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Solution

The fourth proportional to 8,115.21, 12,174.21 and 2,568.47 is: 3,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.21 : 12,174.21 = 2,568.47 : x
  2. Step 2: Convert to fraction form
    8,115.21/12,174.21 = 2,568.47/x
  3. Step 3: Cross multiply
    8,115.21x = 12,174.21 × 2,568.47
  4. Step 4: Simplify right side
    8,115.21x = 31,269,032.29
  5. Step 5: Solve for x
    x = 31,269,032.29/8,115.21
  6. Step 6: Final answer
    x = 3,853.14

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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.