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Finding the Fourth Proportional to 8,213.22, 11,334.29 and 4,487.22

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Solution

The fourth proportional to 8,213.22, 11,334.29 and 4,487.22 is: 6,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.22 : 11,334.29 = 4,487.22 : x
  2. Step 2: Convert to fraction form
    8,213.22/11,334.29 = 4,487.22/x
  3. Step 3: Cross multiply
    8,213.22x = 11,334.29 × 4,487.22
  4. Step 4: Simplify right side
    8,213.22x = 50,859,452.77
  5. Step 5: Solve for x
    x = 50,859,452.77/8,213.22
  6. Step 6: Final answer
    x = 6,192.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.