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Finding the Fourth Proportional to 11,814.72, 17,717.67 and 3,915.78

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Solution

The fourth proportional to 11,814.72, 17,717.67 and 3,915.78 is: 5,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.72 : 17,717.67 = 3,915.78 : x
  2. Step 2: Convert to fraction form
    11,814.72/17,717.67 = 3,915.78/x
  3. Step 3: Cross multiply
    11,814.72x = 17,717.67 × 3,915.78
  4. Step 4: Simplify right side
    11,814.72x = 69,378,497.83
  5. Step 5: Solve for x
    x = 69,378,497.83/11,814.72
  6. Step 6: Final answer
    x = 5,872.21

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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.