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Finding the Fourth Proportional to 11,850.31, 17,760.03 and 4,822.12

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Solution

The fourth proportional to 11,850.31, 17,760.03 and 4,822.12 is: 7,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.31 : 17,760.03 = 4,822.12 : x
  2. Step 2: Convert to fraction form
    11,850.31/17,760.03 = 4,822.12/x
  3. Step 3: Cross multiply
    11,850.31x = 17,760.03 × 4,822.12
  4. Step 4: Simplify right side
    11,850.31x = 85,640,995.86
  5. Step 5: Solve for x
    x = 85,640,995.86/11,850.31
  6. Step 6: Final answer
    x = 7,226.90

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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.