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Finding the Fourth Proportional to 13,310.75, 18,362.82 and 7,644.09

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Solution

The fourth proportional to 13,310.75, 18,362.82 and 7,644.09 is: 10,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.75 : 18,362.82 = 7,644.09 : x
  2. Step 2: Convert to fraction form
    13,310.75/18,362.82 = 7,644.09/x
  3. Step 3: Cross multiply
    13,310.75x = 18,362.82 × 7,644.09
  4. Step 4: Simplify right side
    13,310.75x = 140,366,999.97
  5. Step 5: Solve for x
    x = 140,366,999.97/13,310.75
  6. Step 6: Final answer
    x = 10,545.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.