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Finding the Fourth Proportional to 8,223.84, 11,363.04 and 6,469.20

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Solution

The fourth proportional to 8,223.84, 11,363.04 and 6,469.20 is: 8,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.84 : 11,363.04 = 6,469.20 : x
  2. Step 2: Convert to fraction form
    8,223.84/11,363.04 = 6,469.20/x
  3. Step 3: Cross multiply
    8,223.84x = 11,363.04 × 6,469.20
  4. Step 4: Simplify right side
    8,223.84x = 73,509,778.37
  5. Step 5: Solve for x
    x = 73,509,778.37/8,223.84
  6. Step 6: Final answer
    x = 8,938.62

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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.