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Finding the Fourth Proportional to 11,757.33, 17,635.86 and 5,912.64

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Solution

The fourth proportional to 11,757.33, 17,635.86 and 5,912.64 is: 8,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.33 : 17,635.86 = 5,912.64 : x
  2. Step 2: Convert to fraction form
    11,757.33/17,635.86 = 5,912.64/x
  3. Step 3: Cross multiply
    11,757.33x = 17,635.86 × 5,912.64
  4. Step 4: Simplify right side
    11,757.33x = 104,274,491.27
  5. Step 5: Solve for x
    x = 104,274,491.27/11,757.33
  6. Step 6: Final answer
    x = 8,868.89

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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.