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Finding the Fourth Proportional to 11,717.83, 17,576.22 and 3,397.66

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Solution

The fourth proportional to 11,717.83, 17,576.22 and 3,397.66 is: 5,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.83 : 17,576.22 = 3,397.66 : x
  2. Step 2: Convert to fraction form
    11,717.83/17,576.22 = 3,397.66/x
  3. Step 3: Cross multiply
    11,717.83x = 17,576.22 × 3,397.66
  4. Step 4: Simplify right side
    11,717.83x = 59,718,019.65
  5. Step 5: Solve for x
    x = 59,718,019.65/11,717.83
  6. Step 6: Final answer
    x = 5,096.34

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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.