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Finding the Fourth Proportional to 27,716.46, 41,562.33 and 7,990.34

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Solution

The fourth proportional to 27,716.46, 41,562.33 and 7,990.34 is: 11,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.46 : 41,562.33 = 7,990.34 : x
  2. Step 2: Convert to fraction form
    27,716.46/41,562.33 = 7,990.34/x
  3. Step 3: Cross multiply
    27,716.46x = 41,562.33 × 7,990.34
  4. Step 4: Simplify right side
    27,716.46x = 332,096,940.08
  5. Step 5: Solve for x
    x = 332,096,940.08/27,716.46
  6. Step 6: Final answer
    x = 11,981.94

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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.