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Finding the Fourth Proportional to 8,222.26, 11,348.04 and 5,239.30

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Solution

The fourth proportional to 8,222.26, 11,348.04 and 5,239.30 is: 7,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.26 : 11,348.04 = 5,239.30 : x
  2. Step 2: Convert to fraction form
    8,222.26/11,348.04 = 5,239.30/x
  3. Step 3: Cross multiply
    8,222.26x = 11,348.04 × 5,239.30
  4. Step 4: Simplify right side
    8,222.26x = 59,455,785.97
  5. Step 5: Solve for x
    x = 59,455,785.97/8,222.26
  6. Step 6: Final answer
    x = 7,231.08

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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.