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Finding the Fourth Proportional to 11,843.23, 17,758.31 and 4,821.44

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Solution

The fourth proportional to 11,843.23, 17,758.31 and 4,821.44 is: 7,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.23 : 17,758.31 = 4,821.44 : x
  2. Step 2: Convert to fraction form
    11,843.23/17,758.31 = 4,821.44/x
  3. Step 3: Cross multiply
    11,843.23x = 17,758.31 × 4,821.44
  4. Step 4: Simplify right side
    11,843.23x = 85,620,602.06
  5. Step 5: Solve for x
    x = 85,620,602.06/11,843.23
  6. Step 6: Final answer
    x = 7,229.50

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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.