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Finding the Fourth Proportional to 11,896.65, 17,853.05 and 6,353.97

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Solution

The fourth proportional to 11,896.65, 17,853.05 and 6,353.97 is: 9,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.65 : 17,853.05 = 6,353.97 : x
  2. Step 2: Convert to fraction form
    11,896.65/17,853.05 = 6,353.97/x
  3. Step 3: Cross multiply
    11,896.65x = 17,853.05 × 6,353.97
  4. Step 4: Simplify right side
    11,896.65x = 113,437,744.11
  5. Step 5: Solve for x
    x = 113,437,744.11/11,896.65
  6. Step 6: Final answer
    x = 9,535.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.