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Finding the Fourth Proportional to 11,349.11, 17,024.46 and 3,029.09

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Solution

The fourth proportional to 11,349.11, 17,024.46 and 3,029.09 is: 4,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.11 : 17,024.46 = 3,029.09 : x
  2. Step 2: Convert to fraction form
    11,349.11/17,024.46 = 3,029.09/x
  3. Step 3: Cross multiply
    11,349.11x = 17,024.46 × 3,029.09
  4. Step 4: Simplify right side
    11,349.11x = 51,568,621.54
  5. Step 5: Solve for x
    x = 51,568,621.54/11,349.11
  6. Step 6: Final answer
    x = 4,543.85

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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.