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Finding the Fourth Proportional to 10,082.44, 13,906.86 and 6,096.64

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Solution

The fourth proportional to 10,082.44, 13,906.86 and 6,096.64 is: 8,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.44 : 13,906.86 = 6,096.64 : x
  2. Step 2: Convert to fraction form
    10,082.44/13,906.86 = 6,096.64/x
  3. Step 3: Cross multiply
    10,082.44x = 13,906.86 × 6,096.64
  4. Step 4: Simplify right side
    10,082.44x = 84,785,118.95
  5. Step 5: Solve for x
    x = 84,785,118.95/10,082.44
  6. Step 6: Final answer
    x = 8,409.19

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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.