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Finding the Fourth Proportional to 10,449.37, 15,659.33 and 5,771.49

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Solution

The fourth proportional to 10,449.37, 15,659.33 and 5,771.49 is: 8,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.37 : 15,659.33 = 5,771.49 : x
  2. Step 2: Convert to fraction form
    10,449.37/15,659.33 = 5,771.49/x
  3. Step 3: Cross multiply
    10,449.37x = 15,659.33 × 5,771.49
  4. Step 4: Simplify right side
    10,449.37x = 90,377,578.92
  5. Step 5: Solve for x
    x = 90,377,578.92/10,449.37
  6. Step 6: Final answer
    x = 8,649.09

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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.