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Finding the Fourth Proportional to 8,519.36, 11,752.56 and 7,338.38

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Solution

The fourth proportional to 8,519.36, 11,752.56 and 7,338.38 is: 10,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.36 : 11,752.56 = 7,338.38 : x
  2. Step 2: Convert to fraction form
    8,519.36/11,752.56 = 7,338.38/x
  3. Step 3: Cross multiply
    8,519.36x = 11,752.56 × 7,338.38
  4. Step 4: Simplify right side
    8,519.36x = 86,244,692.49
  5. Step 5: Solve for x
    x = 86,244,692.49/8,519.36
  6. Step 6: Final answer
    x = 10,123.38

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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.