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Finding the Fourth Proportional to 6,801.09, 10,193.42 and 3,512.38

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Solution

The fourth proportional to 6,801.09, 10,193.42 and 3,512.38 is: 5,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.09 : 10,193.42 = 3,512.38 : x
  2. Step 2: Convert to fraction form
    6,801.09/10,193.42 = 3,512.38/x
  3. Step 3: Cross multiply
    6,801.09x = 10,193.42 × 3,512.38
  4. Step 4: Simplify right side
    6,801.09x = 35,803,164.54
  5. Step 5: Solve for x
    x = 35,803,164.54/6,801.09
  6. Step 6: Final answer
    x = 5,264.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.