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Finding the Fourth Proportional to 8,015.50, 12,024.81 and 2,467.87

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Solution

The fourth proportional to 8,015.50, 12,024.81 and 2,467.87 is: 3,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.50 : 12,024.81 = 2,467.87 : x
  2. Step 2: Convert to fraction form
    8,015.50/12,024.81 = 2,467.87/x
  3. Step 3: Cross multiply
    8,015.50x = 12,024.81 × 2,467.87
  4. Step 4: Simplify right side
    8,015.50x = 29,675,667.85
  5. Step 5: Solve for x
    x = 29,675,667.85/8,015.50
  6. Step 6: Final answer
    x = 3,702.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.