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Finding the Fourth Proportional to 7,481.87, 11,224.14 and 3,099.66

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Solution

The fourth proportional to 7,481.87, 11,224.14 and 3,099.66 is: 4,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.87 : 11,224.14 = 3,099.66 : x
  2. Step 2: Convert to fraction form
    7,481.87/11,224.14 = 3,099.66/x
  3. Step 3: Cross multiply
    7,481.87x = 11,224.14 × 3,099.66
  4. Step 4: Simplify right side
    7,481.87x = 34,791,017.79
  5. Step 5: Solve for x
    x = 34,791,017.79/7,481.87
  6. Step 6: Final answer
    x = 4,650.05

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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.