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Finding the Fourth Proportional to 11,797.99, 17,698.26 and 3,478.07

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Solution

The fourth proportional to 11,797.99, 17,698.26 and 3,478.07 is: 5,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.99 : 17,698.26 = 3,478.07 : x
  2. Step 2: Convert to fraction form
    11,797.99/17,698.26 = 3,478.07/x
  3. Step 3: Cross multiply
    11,797.99x = 17,698.26 × 3,478.07
  4. Step 4: Simplify right side
    11,797.99x = 61,555,787.16
  5. Step 5: Solve for x
    x = 61,555,787.16/11,797.99
  6. Step 6: Final answer
    x = 5,217.48

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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.