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Finding the Fourth Proportional to 11,722.56, 17,556.96 and 5,866.56

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Solution

The fourth proportional to 11,722.56, 17,556.96 and 5,866.56 is: 8,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.56 : 17,556.96 = 5,866.56 : x
  2. Step 2: Convert to fraction form
    11,722.56/17,556.96 = 5,866.56/x
  3. Step 3: Cross multiply
    11,722.56x = 17,556.96 × 5,866.56
  4. Step 4: Simplify right side
    11,722.56x = 102,998,959.26
  5. Step 5: Solve for x
    x = 102,998,959.26/11,722.56
  6. Step 6: Final answer
    x = 8,786.39

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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.