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Finding the Fourth Proportional to 8,223, 11,347.92 and 4,497

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Solution

The fourth proportional to 8,223, 11,347.92 and 4,497 is: 6,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223 : 11,347.92 = 4,497 : x
  2. Step 2: Convert to fraction form
    8,223/11,347.92 = 4,497/x
  3. Step 3: Cross multiply
    8,223x = 11,347.92 × 4,497
  4. Step 4: Simplify right side
    8,223x = 51,031,596.24
  5. Step 5: Solve for x
    x = 51,031,596.24/8,223
  6. Step 6: Final answer
    x = 6,205.96

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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.