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Finding the Fourth Proportional to 8,467.50, 12,703.28 and 5,367.42

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Solution

The fourth proportional to 8,467.50, 12,703.28 and 5,367.42 is: 8,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.50 : 12,703.28 = 5,367.42 : x
  2. Step 2: Convert to fraction form
    8,467.50/12,703.28 = 5,367.42/x
  3. Step 3: Cross multiply
    8,467.50x = 12,703.28 × 5,367.42
  4. Step 4: Simplify right side
    8,467.50x = 68,183,812.30
  5. Step 5: Solve for x
    x = 68,183,812.30/8,467.50
  6. Step 6: Final answer
    x = 8,052.41

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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.