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Finding the Fourth Proportional to 12,722.78, 17,556.81 and 7,057.46

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Solution

The fourth proportional to 12,722.78, 17,556.81 and 7,057.46 is: 9,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.78 : 17,556.81 = 7,057.46 : x
  2. Step 2: Convert to fraction form
    12,722.78/17,556.81 = 7,057.46/x
  3. Step 3: Cross multiply
    12,722.78x = 17,556.81 × 7,057.46
  4. Step 4: Simplify right side
    12,722.78x = 123,906,484.30
  5. Step 5: Solve for x
    x = 123,906,484.30/12,722.78
  6. Step 6: Final answer
    x = 9,738.95

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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.