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Finding the Fourth Proportional to 8,553.24, 11,797.92 and 6,039

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Solution

The fourth proportional to 8,553.24, 11,797.92 and 6,039 is: 8,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.24 : 11,797.92 = 6,039 : x
  2. Step 2: Convert to fraction form
    8,553.24/11,797.92 = 6,039/x
  3. Step 3: Cross multiply
    8,553.24x = 11,797.92 × 6,039
  4. Step 4: Simplify right side
    8,553.24x = 71,247,638.88
  5. Step 5: Solve for x
    x = 71,247,638.88/8,553.24
  6. Step 6: Final answer
    x = 8,329.90

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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.