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Finding the Fourth Proportional to 11,469.91, 17,193.25 and 7,772.51

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Solution

The fourth proportional to 11,469.91, 17,193.25 and 7,772.51 is: 11,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.91 : 17,193.25 = 7,772.51 : x
  2. Step 2: Convert to fraction form
    11,469.91/17,193.25 = 7,772.51/x
  3. Step 3: Cross multiply
    11,469.91x = 17,193.25 × 7,772.51
  4. Step 4: Simplify right side
    11,469.91x = 133,634,716.54
  5. Step 5: Solve for x
    x = 133,634,716.54/11,469.91
  6. Step 6: Final answer
    x = 11,650.90

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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.