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Finding the Fourth Proportional to 8,338.36, 11,512.38 and 6,770.20

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Solution

The fourth proportional to 8,338.36, 11,512.38 and 6,770.20 is: 9,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.36 : 11,512.38 = 6,770.20 : x
  2. Step 2: Convert to fraction form
    8,338.36/11,512.38 = 6,770.20/x
  3. Step 3: Cross multiply
    8,338.36x = 11,512.38 × 6,770.20
  4. Step 4: Simplify right side
    8,338.36x = 77,941,115.08
  5. Step 5: Solve for x
    x = 77,941,115.08/8,338.36
  6. Step 6: Final answer
    x = 9,347.30

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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.