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Finding the Fourth Proportional to 11,867, 17,797.80 and 4,472.24

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Solution

The fourth proportional to 11,867, 17,797.80 and 4,472.24 is: 6,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867 : 17,797.80 = 4,472.24 : x
  2. Step 2: Convert to fraction form
    11,867/17,797.80 = 4,472.24/x
  3. Step 3: Cross multiply
    11,867x = 17,797.80 × 4,472.24
  4. Step 4: Simplify right side
    11,867x = 79,596,033.07
  5. Step 5: Solve for x
    x = 79,596,033.07/11,867
  6. Step 6: Final answer
    x = 6,707.34

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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.