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Finding the Fourth Proportional to 8,077.81, 11,144.22 and 5,958.38

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Solution

The fourth proportional to 8,077.81, 11,144.22 and 5,958.38 is: 8,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.81 : 11,144.22 = 5,958.38 : x
  2. Step 2: Convert to fraction form
    8,077.81/11,144.22 = 5,958.38/x
  3. Step 3: Cross multiply
    8,077.81x = 11,144.22 × 5,958.38
  4. Step 4: Simplify right side
    8,077.81x = 66,401,497.56
  5. Step 5: Solve for x
    x = 66,401,497.56/8,077.81
  6. Step 6: Final answer
    x = 8,220.24

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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.