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Finding the Fourth Proportional to 7,452.69, 11,164.46 and 6,138.33

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Solution

The fourth proportional to 7,452.69, 11,164.46 and 6,138.33 is: 9,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.69 : 11,164.46 = 6,138.33 : x
  2. Step 2: Convert to fraction form
    7,452.69/11,164.46 = 6,138.33/x
  3. Step 3: Cross multiply
    7,452.69x = 11,164.46 × 6,138.33
  4. Step 4: Simplify right side
    7,452.69x = 68,531,109.06
  5. Step 5: Solve for x
    x = 68,531,109.06/7,452.69
  6. Step 6: Final answer
    x = 9,195.49

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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.