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Finding the Fourth Proportional to 8,384.38, 11,571.46 and 5,029.04

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Solution

The fourth proportional to 8,384.38, 11,571.46 and 5,029.04 is: 6,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.38 : 11,571.46 = 5,029.04 : x
  2. Step 2: Convert to fraction form
    8,384.38/11,571.46 = 5,029.04/x
  3. Step 3: Cross multiply
    8,384.38x = 11,571.46 × 5,029.04
  4. Step 4: Simplify right side
    8,384.38x = 58,193,335.20
  5. Step 5: Solve for x
    x = 58,193,335.20/8,384.38
  6. Step 6: Final answer
    x = 6,940.68

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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.