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Finding the Fourth Proportional to 6,082.97, 9,116.35 and 5,390.42

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Solution

The fourth proportional to 6,082.97, 9,116.35 and 5,390.42 is: 8,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.97 : 9,116.35 = 5,390.42 : x
  2. Step 2: Convert to fraction form
    6,082.97/9,116.35 = 5,390.42/x
  3. Step 3: Cross multiply
    6,082.97x = 9,116.35 × 5,390.42
  4. Step 4: Simplify right side
    6,082.97x = 49,140,896.31
  5. Step 5: Solve for x
    x = 49,140,896.31/6,082.97
  6. Step 6: Final answer
    x = 8,078.44

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