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Finding the Fourth Proportional to 11,914.26, 17,870.66 and 5,338.68

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Solution

The fourth proportional to 11,914.26, 17,870.66 and 5,338.68 is: 8,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.26 : 17,870.66 = 5,338.68 : x
  2. Step 2: Convert to fraction form
    11,914.26/17,870.66 = 5,338.68/x
  3. Step 3: Cross multiply
    11,914.26x = 17,870.66 × 5,338.68
  4. Step 4: Simplify right side
    11,914.26x = 95,405,735.13
  5. Step 5: Solve for x
    x = 95,405,735.13/11,914.26
  6. Step 6: Final answer
    x = 8,007.69

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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.