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Finding the Fourth Proportional to 11,299.72, 15,593.43 and 6,195.28

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Solution

The fourth proportional to 11,299.72, 15,593.43 and 6,195.28 is: 8,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.72 : 15,593.43 = 6,195.28 : x
  2. Step 2: Convert to fraction form
    11,299.72/15,593.43 = 6,195.28/x
  3. Step 3: Cross multiply
    11,299.72x = 15,593.43 × 6,195.28
  4. Step 4: Simplify right side
    11,299.72x = 96,605,626.03
  5. Step 5: Solve for x
    x = 96,605,626.03/11,299.72
  6. Step 6: Final answer
    x = 8,549.38

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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.