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Finding the Fourth Proportional to 8,414.89, 12,626.94 and 3,153.53

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Solution

The fourth proportional to 8,414.89, 12,626.94 and 3,153.53 is: 4,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.89 : 12,626.94 = 3,153.53 : x
  2. Step 2: Convert to fraction form
    8,414.89/12,626.94 = 3,153.53/x
  3. Step 3: Cross multiply
    8,414.89x = 12,626.94 × 3,153.53
  4. Step 4: Simplify right side
    8,414.89x = 39,819,370.96
  5. Step 5: Solve for x
    x = 39,819,370.96/8,414.89
  6. Step 6: Final answer
    x = 4,732.02

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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.