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Finding the Fourth Proportional to 5,380.92, 8,082.72 and 5,235.12

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Solution

The fourth proportional to 5,380.92, 8,082.72 and 5,235.12 is: 7,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.92 : 8,082.72 = 5,235.12 : x
  2. Step 2: Convert to fraction form
    5,380.92/8,082.72 = 5,235.12/x
  3. Step 3: Cross multiply
    5,380.92x = 8,082.72 × 5,235.12
  4. Step 4: Simplify right side
    5,380.92x = 42,314,009.13
  5. Step 5: Solve for x
    x = 42,314,009.13/5,380.92
  6. Step 6: Final answer
    x = 7,863.71

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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.