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Finding the Fourth Proportional to 8,202.54, 11,329.47 and 8,144.94

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Solution

The fourth proportional to 8,202.54, 11,329.47 and 8,144.94 is: 11,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.54 : 11,329.47 = 8,144.94 : x
  2. Step 2: Convert to fraction form
    8,202.54/11,329.47 = 8,144.94/x
  3. Step 3: Cross multiply
    8,202.54x = 11,329.47 × 8,144.94
  4. Step 4: Simplify right side
    8,202.54x = 92,277,853.38
  5. Step 5: Solve for x
    x = 92,277,853.38/8,202.54
  6. Step 6: Final answer
    x = 11,249.91

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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.