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Finding the Fourth Proportional to 7,238.67, 10,859.57 and 3,082.19

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Solution

The fourth proportional to 7,238.67, 10,859.57 and 3,082.19 is: 4,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.67 : 10,859.57 = 3,082.19 : x
  2. Step 2: Convert to fraction form
    7,238.67/10,859.57 = 3,082.19/x
  3. Step 3: Cross multiply
    7,238.67x = 10,859.57 × 3,082.19
  4. Step 4: Simplify right side
    7,238.67x = 33,471,199.91
  5. Step 5: Solve for x
    x = 33,471,199.91/7,238.67
  6. Step 6: Final answer
    x = 4,623.95

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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.