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Finding the Fourth Proportional to 8,022.97, 11,072.73 and 4,486.38

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Solution

The fourth proportional to 8,022.97, 11,072.73 and 4,486.38 is: 6,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.97 : 11,072.73 = 4,486.38 : x
  2. Step 2: Convert to fraction form
    8,022.97/11,072.73 = 4,486.38/x
  3. Step 3: Cross multiply
    8,022.97x = 11,072.73 × 4,486.38
  4. Step 4: Simplify right side
    8,022.97x = 49,676,474.42
  5. Step 5: Solve for x
    x = 49,676,474.42/8,022.97
  6. Step 6: Final answer
    x = 6,191.78

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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.