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Finding the Fourth Proportional to 7,151.59, 10,733.99 and 3,644.09

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Solution

The fourth proportional to 7,151.59, 10,733.99 and 3,644.09 is: 5,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.59 : 10,733.99 = 3,644.09 : x
  2. Step 2: Convert to fraction form
    7,151.59/10,733.99 = 3,644.09/x
  3. Step 3: Cross multiply
    7,151.59x = 10,733.99 × 3,644.09
  4. Step 4: Simplify right side
    7,151.59x = 39,115,593.98
  5. Step 5: Solve for x
    x = 39,115,593.98/7,151.59
  6. Step 6: Final answer
    x = 5,469.50

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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.