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Finding the Fourth Proportional to 8,414.88, 12,622.32 and 2,258.88

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Solution

The fourth proportional to 8,414.88, 12,622.32 and 2,258.88 is: 3,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.88 : 12,622.32 = 2,258.88 : x
  2. Step 2: Convert to fraction form
    8,414.88/12,622.32 = 2,258.88/x
  3. Step 3: Cross multiply
    8,414.88x = 12,622.32 × 2,258.88
  4. Step 4: Simplify right side
    8,414.88x = 28,512,306.20
  5. Step 5: Solve for x
    x = 28,512,306.20/8,414.88
  6. Step 6: Final answer
    x = 3,388.32

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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.