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Finding the Fourth Proportional to 8,004.50, 12,006.85 and 2,161.23

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Solution

The fourth proportional to 8,004.50, 12,006.85 and 2,161.23 is: 3,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.50 : 12,006.85 = 2,161.23 : x
  2. Step 2: Convert to fraction form
    8,004.50/12,006.85 = 2,161.23/x
  3. Step 3: Cross multiply
    8,004.50x = 12,006.85 × 2,161.23
  4. Step 4: Simplify right side
    8,004.50x = 25,949,518.05
  5. Step 5: Solve for x
    x = 25,949,518.05/8,004.50
  6. Step 6: Final answer
    x = 3,241.87

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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.