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Finding the Fourth Proportional to 8,882.82, 13,324.14 and 2,308.41

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Solution

The fourth proportional to 8,882.82, 13,324.14 and 2,308.41 is: 3,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.82 : 13,324.14 = 2,308.41 : x
  2. Step 2: Convert to fraction form
    8,882.82/13,324.14 = 2,308.41/x
  3. Step 3: Cross multiply
    8,882.82x = 13,324.14 × 2,308.41
  4. Step 4: Simplify right side
    8,882.82x = 30,757,578.02
  5. Step 5: Solve for x
    x = 30,757,578.02/8,882.82
  6. Step 6: Final answer
    x = 3,462.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.