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Finding the Fourth Proportional to 7,452.78, 10,273.41 and 5,878.14

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Solution

The fourth proportional to 7,452.78, 10,273.41 and 5,878.14 is: 8,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.78 : 10,273.41 = 5,878.14 : x
  2. Step 2: Convert to fraction form
    7,452.78/10,273.41 = 5,878.14/x
  3. Step 3: Cross multiply
    7,452.78x = 10,273.41 × 5,878.14
  4. Step 4: Simplify right side
    7,452.78x = 60,388,542.26
  5. Step 5: Solve for x
    x = 60,388,542.26/7,452.78
  6. Step 6: Final answer
    x = 8,102.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.