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Finding the Fourth Proportional to 11,811.72, 16,299.57 and 7,619.97

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Solution

The fourth proportional to 11,811.72, 16,299.57 and 7,619.97 is: 10,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.72 : 16,299.57 = 7,619.97 : x
  2. Step 2: Convert to fraction form
    11,811.72/16,299.57 = 7,619.97/x
  3. Step 3: Cross multiply
    11,811.72x = 16,299.57 × 7,619.97
  4. Step 4: Simplify right side
    11,811.72x = 124,202,234.41
  5. Step 5: Solve for x
    x = 124,202,234.41/11,811.72
  6. Step 6: Final answer
    x = 10,515.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.