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Finding the Fourth Proportional to 8,224.54, 11,348.85 and 5,239.15

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Solution

The fourth proportional to 8,224.54, 11,348.85 and 5,239.15 is: 7,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.54 : 11,348.85 = 5,239.15 : x
  2. Step 2: Convert to fraction form
    8,224.54/11,348.85 = 5,239.15/x
  3. Step 3: Cross multiply
    8,224.54x = 11,348.85 × 5,239.15
  4. Step 4: Simplify right side
    8,224.54x = 59,458,327.48
  5. Step 5: Solve for x
    x = 59,458,327.48/8,224.54
  6. Step 6: Final answer
    x = 7,229.38

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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.