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Finding the Fourth Proportional to 8,467.82, 12,706.30 and 3,540.86

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Solution

The fourth proportional to 8,467.82, 12,706.30 and 3,540.86 is: 5,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.82 : 12,706.30 = 3,540.86 : x
  2. Step 2: Convert to fraction form
    8,467.82/12,706.30 = 3,540.86/x
  3. Step 3: Cross multiply
    8,467.82x = 12,706.30 × 3,540.86
  4. Step 4: Simplify right side
    8,467.82x = 44,991,229.42
  5. Step 5: Solve for x
    x = 44,991,229.42/8,467.82
  6. Step 6: Final answer
    x = 5,313.20

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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.