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Finding the Fourth Proportional to 8,082.69, 12,119.90 and 3,697.75

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Solution

The fourth proportional to 8,082.69, 12,119.90 and 3,697.75 is: 5,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.69 : 12,119.90 = 3,697.75 : x
  2. Step 2: Convert to fraction form
    8,082.69/12,119.90 = 3,697.75/x
  3. Step 3: Cross multiply
    8,082.69x = 12,119.90 × 3,697.75
  4. Step 4: Simplify right side
    8,082.69x = 44,816,356.89
  5. Step 5: Solve for x
    x = 44,816,356.89/8,082.69
  6. Step 6: Final answer
    x = 5,544.74

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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.