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Finding the Fourth Proportional to 11,759.36, 17,644.79 and 5,519.87

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Solution

The fourth proportional to 11,759.36, 17,644.79 and 5,519.87 is: 8,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.36 : 17,644.79 = 5,519.87 : x
  2. Step 2: Convert to fraction form
    11,759.36/17,644.79 = 5,519.87/x
  3. Step 3: Cross multiply
    11,759.36x = 17,644.79 × 5,519.87
  4. Step 4: Simplify right side
    11,759.36x = 97,396,831.15
  5. Step 5: Solve for x
    x = 97,396,831.15/11,759.36
  6. Step 6: Final answer
    x = 8,282.50

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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.