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Finding the Fourth Proportional to 7,853.10, 10,839.81 and 5,028.09

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Solution

The fourth proportional to 7,853.10, 10,839.81 and 5,028.09 is: 6,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.10 : 10,839.81 = 5,028.09 : x
  2. Step 2: Convert to fraction form
    7,853.10/10,839.81 = 5,028.09/x
  3. Step 3: Cross multiply
    7,853.10x = 10,839.81 × 5,028.09
  4. Step 4: Simplify right side
    7,853.10x = 54,503,493.33
  5. Step 5: Solve for x
    x = 54,503,493.33/7,853.10
  6. Step 6: Final answer
    x = 6,940.38

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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.