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Finding the Fourth Proportional to 8,082.35, 12,111.17 and 3,399.79

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Solution

The fourth proportional to 8,082.35, 12,111.17 and 3,399.79 is: 5,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.35 : 12,111.17 = 3,399.79 : x
  2. Step 2: Convert to fraction form
    8,082.35/12,111.17 = 3,399.79/x
  3. Step 3: Cross multiply
    8,082.35x = 12,111.17 × 3,399.79
  4. Step 4: Simplify right side
    8,082.35x = 41,175,412.88
  5. Step 5: Solve for x
    x = 41,175,412.88/8,082.35
  6. Step 6: Final answer
    x = 5,094.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.