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Finding the Fourth Proportional to 8,648.37, 11,937.38 and 7,481.97

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Solution

The fourth proportional to 8,648.37, 11,937.38 and 7,481.97 is: 10,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.37 : 11,937.38 = 7,481.97 : x
  2. Step 2: Convert to fraction form
    8,648.37/11,937.38 = 7,481.97/x
  3. Step 3: Cross multiply
    8,648.37x = 11,937.38 × 7,481.97
  4. Step 4: Simplify right side
    8,648.37x = 89,315,081.63
  5. Step 5: Solve for x
    x = 89,315,081.63/8,648.37
  6. Step 6: Final answer
    x = 10,327.39

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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.