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Finding the Fourth Proportional to 11,764.85, 16,238.78 and 7,940.94

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Solution

The fourth proportional to 11,764.85, 16,238.78 and 7,940.94 is: 10,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.85 : 16,238.78 = 7,940.94 : x
  2. Step 2: Convert to fraction form
    11,764.85/16,238.78 = 7,940.94/x
  3. Step 3: Cross multiply
    11,764.85x = 16,238.78 × 7,940.94
  4. Step 4: Simplify right side
    11,764.85x = 128,951,106.83
  5. Step 5: Solve for x
    x = 128,951,106.83/11,764.85
  6. Step 6: Final answer
    x = 10,960.71

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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.