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Finding the Fourth Proportional to 8,097.39, 11,174.67 and 4,512.51

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Solution

The fourth proportional to 8,097.39, 11,174.67 and 4,512.51 is: 6,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.39 : 11,174.67 = 4,512.51 : x
  2. Step 2: Convert to fraction form
    8,097.39/11,174.67 = 4,512.51/x
  3. Step 3: Cross multiply
    8,097.39x = 11,174.67 × 4,512.51
  4. Step 4: Simplify right side
    8,097.39x = 50,425,810.12
  5. Step 5: Solve for x
    x = 50,425,810.12/8,097.39
  6. Step 6: Final answer
    x = 6,227.42

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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.