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Finding the Fourth Proportional to 8,217.44, 11,338.08 and 4,679.36

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Solution

The fourth proportional to 8,217.44, 11,338.08 and 4,679.36 is: 6,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.44 : 11,338.08 = 4,679.36 : x
  2. Step 2: Convert to fraction form
    8,217.44/11,338.08 = 4,679.36/x
  3. Step 3: Cross multiply
    8,217.44x = 11,338.08 × 4,679.36
  4. Step 4: Simplify right side
    8,217.44x = 53,054,958.03
  5. Step 5: Solve for x
    x = 53,054,958.03/8,217.44
  6. Step 6: Final answer
    x = 6,456.39

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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.