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Finding the Fourth Proportional to 8,168.22, 11,272.26 and 6,120.50

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Solution

The fourth proportional to 8,168.22, 11,272.26 and 6,120.50 is: 8,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.22 : 11,272.26 = 6,120.50 : x
  2. Step 2: Convert to fraction form
    8,168.22/11,272.26 = 6,120.50/x
  3. Step 3: Cross multiply
    8,168.22x = 11,272.26 × 6,120.50
  4. Step 4: Simplify right side
    8,168.22x = 68,991,867.33
  5. Step 5: Solve for x
    x = 68,991,867.33/8,168.22
  6. Step 6: Final answer
    x = 8,446.38

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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.