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Finding the Fourth Proportional to 11,744.99, 17,618.09 and 5,739.24

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Solution

The fourth proportional to 11,744.99, 17,618.09 and 5,739.24 is: 8,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.99 : 17,618.09 = 5,739.24 : x
  2. Step 2: Convert to fraction form
    11,744.99/17,618.09 = 5,739.24/x
  3. Step 3: Cross multiply
    11,744.99x = 17,618.09 × 5,739.24
  4. Step 4: Simplify right side
    11,744.99x = 101,114,418.16
  5. Step 5: Solve for x
    x = 101,114,418.16/11,744.99
  6. Step 6: Final answer
    x = 8,609.16

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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.