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Finding the Fourth Proportional to 8,299.39, 11,467.73 and 6,634.53

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Solution

The fourth proportional to 8,299.39, 11,467.73 and 6,634.53 is: 9,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.39 : 11,467.73 = 6,634.53 : x
  2. Step 2: Convert to fraction form
    8,299.39/11,467.73 = 6,634.53/x
  3. Step 3: Cross multiply
    8,299.39x = 11,467.73 × 6,634.53
  4. Step 4: Simplify right side
    8,299.39x = 76,082,998.72
  5. Step 5: Solve for x
    x = 76,082,998.72/8,299.39
  6. Step 6: Final answer
    x = 9,167.30

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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.