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Finding the Fourth Proportional to 8,082.54, 12,121.76 and 5,735.70

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Solution

The fourth proportional to 8,082.54, 12,121.76 and 5,735.70 is: 8,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.54 : 12,121.76 = 5,735.70 : x
  2. Step 2: Convert to fraction form
    8,082.54/12,121.76 = 5,735.70/x
  3. Step 3: Cross multiply
    8,082.54x = 12,121.76 × 5,735.70
  4. Step 4: Simplify right side
    8,082.54x = 69,526,778.83
  5. Step 5: Solve for x
    x = 69,526,778.83/8,082.54
  6. Step 6: Final answer
    x = 8,602.10

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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.