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Finding the Fourth Proportional to 11,850.17, 16,355.75 and 8,082.32

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Solution

The fourth proportional to 11,850.17, 16,355.75 and 8,082.32 is: 11,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.17 : 16,355.75 = 8,082.32 : x
  2. Step 2: Convert to fraction form
    11,850.17/16,355.75 = 8,082.32/x
  3. Step 3: Cross multiply
    11,850.17x = 16,355.75 × 8,082.32
  4. Step 4: Simplify right side
    11,850.17x = 132,192,283.15
  5. Step 5: Solve for x
    x = 132,192,283.15/11,850.17
  6. Step 6: Final answer
    x = 11,155.31

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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.