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Finding the Fourth Proportional to 8,408.96, 12,614.04 and 2,485.78

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Solution

The fourth proportional to 8,408.96, 12,614.04 and 2,485.78 is: 3,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.96 : 12,614.04 = 2,485.78 : x
  2. Step 2: Convert to fraction form
    8,408.96/12,614.04 = 2,485.78/x
  3. Step 3: Cross multiply
    8,408.96x = 12,614.04 × 2,485.78
  4. Step 4: Simplify right side
    8,408.96x = 31,355,728.35
  5. Step 5: Solve for x
    x = 31,355,728.35/8,408.96
  6. Step 6: Final answer
    x = 3,728.85

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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.