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Finding the Fourth Proportional to 7,330.72, 10,997.16 and 2,137

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Solution

The fourth proportional to 7,330.72, 10,997.16 and 2,137 is: 3,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.72 : 10,997.16 = 2,137 : x
  2. Step 2: Convert to fraction form
    7,330.72/10,997.16 = 2,137/x
  3. Step 3: Cross multiply
    7,330.72x = 10,997.16 × 2,137
  4. Step 4: Simplify right side
    7,330.72x = 23,500,930.92
  5. Step 5: Solve for x
    x = 23,500,930.92/7,330.72
  6. Step 6: Final answer
    x = 3,205.81

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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.