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Finding the Fourth Proportional to 27,561.56, 41,343.71 and 7,843.02

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Solution

The fourth proportional to 27,561.56, 41,343.71 and 7,843.02 is: 11,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,561.56 : 41,343.71 = 7,843.02 : x
  2. Step 2: Convert to fraction form
    27,561.56/41,343.71 = 7,843.02/x
  3. Step 3: Cross multiply
    27,561.56x = 41,343.71 × 7,843.02
  4. Step 4: Simplify right side
    27,561.56x = 324,259,505.19
  5. Step 5: Solve for x
    x = 324,259,505.19/27,561.56
  6. Step 6: Final answer
    x = 11,764.92

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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.