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Finding the Fourth Proportional to 7,910.74, 11,865.03 and 2,067.76

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Solution

The fourth proportional to 7,910.74, 11,865.03 and 2,067.76 is: 3,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.74 : 11,865.03 = 2,067.76 : x
  2. Step 2: Convert to fraction form
    7,910.74/11,865.03 = 2,067.76/x
  3. Step 3: Cross multiply
    7,910.74x = 11,865.03 × 2,067.76
  4. Step 4: Simplify right side
    7,910.74x = 24,534,034.43
  5. Step 5: Solve for x
    x = 24,534,034.43/7,910.74
  6. Step 6: Final answer
    x = 3,101.36

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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.