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Finding the Fourth Proportional to 11,822.09, 17,736.79 and 5,581.85

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Solution

The fourth proportional to 11,822.09, 17,736.79 and 5,581.85 is: 8,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.09 : 17,736.79 = 5,581.85 : x
  2. Step 2: Convert to fraction form
    11,822.09/17,736.79 = 5,581.85/x
  3. Step 3: Cross multiply
    11,822.09x = 17,736.79 × 5,581.85
  4. Step 4: Simplify right side
    11,822.09x = 99,004,131.65
  5. Step 5: Solve for x
    x = 99,004,131.65/11,822.09
  6. Step 6: Final answer
    x = 8,374.50

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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.