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Finding the Fourth Proportional to 7,867.09, 11,797.48 and 3,481.48

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Solution

The fourth proportional to 7,867.09, 11,797.48 and 3,481.48 is: 5,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.09 : 11,797.48 = 3,481.48 : x
  2. Step 2: Convert to fraction form
    7,867.09/11,797.48 = 3,481.48/x
  3. Step 3: Cross multiply
    7,867.09x = 11,797.48 × 3,481.48
  4. Step 4: Simplify right side
    7,867.09x = 41,072,709.77
  5. Step 5: Solve for x
    x = 41,072,709.77/7,867.09
  6. Step 6: Final answer
    x = 5,220.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.