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Finding the Fourth Proportional to 11,891.80, 17,824.90 and 4,493.40

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Solution

The fourth proportional to 11,891.80, 17,824.90 and 4,493.40 is: 6,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.80 : 17,824.90 = 4,493.40 : x
  2. Step 2: Convert to fraction form
    11,891.80/17,824.90 = 4,493.40/x
  3. Step 3: Cross multiply
    11,891.80x = 17,824.90 × 4,493.40
  4. Step 4: Simplify right side
    11,891.80x = 80,094,405.66
  5. Step 5: Solve for x
    x = 80,094,405.66/11,891.80
  6. Step 6: Final answer
    x = 6,735.26

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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.