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Finding the Fourth Proportional to 10,982.84, 15,083.20 and 9,211.37

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Solution

The fourth proportional to 10,982.84, 15,083.20 and 9,211.37 is: 12,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.84 : 15,083.20 = 9,211.37 : x
  2. Step 2: Convert to fraction form
    10,982.84/15,083.20 = 9,211.37/x
  3. Step 3: Cross multiply
    10,982.84x = 15,083.20 × 9,211.37
  4. Step 4: Simplify right side
    10,982.84x = 138,936,872.08
  5. Step 5: Solve for x
    x = 138,936,872.08/10,982.84
  6. Step 6: Final answer
    x = 12,650.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.