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Finding the Fourth Proportional to 8,414.56, 12,522.48 and 8,134.24

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Solution

The fourth proportional to 8,414.56, 12,522.48 and 8,134.24 is: 12,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.56 : 12,522.48 = 8,134.24 : x
  2. Step 2: Convert to fraction form
    8,414.56/12,522.48 = 8,134.24/x
  3. Step 3: Cross multiply
    8,414.56x = 12,522.48 × 8,134.24
  4. Step 4: Simplify right side
    8,414.56x = 101,860,857.72
  5. Step 5: Solve for x
    x = 101,860,857.72/8,414.56
  6. Step 6: Final answer
    x = 12,105.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.