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Finding the Fourth Proportional to 7,155.78, 9,874.97 and 4,361.28

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Solution

The fourth proportional to 7,155.78, 9,874.97 and 4,361.28 is: 6,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.78 : 9,874.97 = 4,361.28 : x
  2. Step 2: Convert to fraction form
    7,155.78/9,874.97 = 4,361.28/x
  3. Step 3: Cross multiply
    7,155.78x = 9,874.97 × 4,361.28
  4. Step 4: Simplify right side
    7,155.78x = 43,067,466.68
  5. Step 5: Solve for x
    x = 43,067,466.68/7,155.78
  6. Step 6: Final answer
    x = 6,018.56

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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.