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Finding the Fourth Proportional to 11,441.89, 17,162.84 and 3,650.50

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Solution

The fourth proportional to 11,441.89, 17,162.84 and 3,650.50 is: 5,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.89 : 17,162.84 = 3,650.50 : x
  2. Step 2: Convert to fraction form
    11,441.89/17,162.84 = 3,650.50/x
  3. Step 3: Cross multiply
    11,441.89x = 17,162.84 × 3,650.50
  4. Step 4: Simplify right side
    11,441.89x = 62,652,947.42
  5. Step 5: Solve for x
    x = 62,652,947.42/11,441.89
  6. Step 6: Final answer
    x = 5,475.75

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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.