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Finding the Fourth Proportional to 10,082.54, 13,910.22 and 6,102.20

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Solution

The fourth proportional to 10,082.54, 13,910.22 and 6,102.20 is: 8,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.54 : 13,910.22 = 6,102.20 : x
  2. Step 2: Convert to fraction form
    10,082.54/13,910.22 = 6,102.20/x
  3. Step 3: Cross multiply
    10,082.54x = 13,910.22 × 6,102.20
  4. Step 4: Simplify right side
    10,082.54x = 84,882,944.48
  5. Step 5: Solve for x
    x = 84,882,944.48/10,082.54
  6. Step 6: Final answer
    x = 8,418.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.