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Finding the Fourth Proportional to 7,113.76, 10,672.22 and 2,183.83

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Solution

The fourth proportional to 7,113.76, 10,672.22 and 2,183.83 is: 3,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.76 : 10,672.22 = 2,183.83 : x
  2. Step 2: Convert to fraction form
    7,113.76/10,672.22 = 2,183.83/x
  3. Step 3: Cross multiply
    7,113.76x = 10,672.22 × 2,183.83
  4. Step 4: Simplify right side
    7,113.76x = 23,306,292.98
  5. Step 5: Solve for x
    x = 23,306,292.98/7,113.76
  6. Step 6: Final answer
    x = 3,276.23

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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.