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Finding the Fourth Proportional to 8,224.05, 12,329.16 and 3,291

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Solution

The fourth proportional to 8,224.05, 12,329.16 and 3,291 is: 4,933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.05 : 12,329.16 = 3,291 : x
  2. Step 2: Convert to fraction form
    8,224.05/12,329.16 = 3,291/x
  3. Step 3: Cross multiply
    8,224.05x = 12,329.16 × 3,291
  4. Step 4: Simplify right side
    8,224.05x = 40,575,265.56
  5. Step 5: Solve for x
    x = 40,575,265.56/8,224.05
  6. Step 6: Final answer
    x = 4,933.73

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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.