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Finding the Fourth Proportional to 8,015.85, 12,024.91 and 2,469.64

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Solution

The fourth proportional to 8,015.85, 12,024.91 and 2,469.64 is: 3,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.85 : 12,024.91 = 2,469.64 : x
  2. Step 2: Convert to fraction form
    8,015.85/12,024.91 = 2,469.64/x
  3. Step 3: Cross multiply
    8,015.85x = 12,024.91 × 2,469.64
  4. Step 4: Simplify right side
    8,015.85x = 29,697,198.73
  5. Step 5: Solve for x
    x = 29,697,198.73/8,015.85
  6. Step 6: Final answer
    x = 3,704.81

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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.