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Finding the Fourth Proportional to 8,105.73, 11,186.73 and 5,082.99

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Solution

The fourth proportional to 8,105.73, 11,186.73 and 5,082.99 is: 7,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.73 : 11,186.73 = 5,082.99 : x
  2. Step 2: Convert to fraction form
    8,105.73/11,186.73 = 5,082.99/x
  3. Step 3: Cross multiply
    8,105.73x = 11,186.73 × 5,082.99
  4. Step 4: Simplify right side
    8,105.73x = 56,862,036.72
  5. Step 5: Solve for x
    x = 56,862,036.72/8,105.73
  6. Step 6: Final answer
    x = 7,015.04

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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.