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Finding the Fourth Proportional to 7,571.16, 11,340.31 and 3,667.38

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Solution

The fourth proportional to 7,571.16, 11,340.31 and 3,667.38 is: 5,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.16 : 11,340.31 = 3,667.38 : x
  2. Step 2: Convert to fraction form
    7,571.16/11,340.31 = 3,667.38/x
  3. Step 3: Cross multiply
    7,571.16x = 11,340.31 × 3,667.38
  4. Step 4: Simplify right side
    7,571.16x = 41,589,226.09
  5. Step 5: Solve for x
    x = 41,589,226.09/7,571.16
  6. Step 6: Final answer
    x = 5,493.11

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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.