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Finding the Fourth Proportional to 27,082.70, 40,624.89 and 7,361.67

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Solution

The fourth proportional to 27,082.70, 40,624.89 and 7,361.67 is: 11,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.70 : 40,624.89 = 7,361.67 : x
  2. Step 2: Convert to fraction form
    27,082.70/40,624.89 = 7,361.67/x
  3. Step 3: Cross multiply
    27,082.70x = 40,624.89 × 7,361.67
  4. Step 4: Simplify right side
    27,082.70x = 299,067,006.36
  5. Step 5: Solve for x
    x = 299,067,006.36/27,082.70
  6. Step 6: Final answer
    x = 11,042.73

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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.