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Finding the Fourth Proportional to 7,571.38, 11,358.32 and 2,642.46

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Solution

The fourth proportional to 7,571.38, 11,358.32 and 2,642.46 is: 3,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.38 : 11,358.32 = 2,642.46 : x
  2. Step 2: Convert to fraction form
    7,571.38/11,358.32 = 2,642.46/x
  3. Step 3: Cross multiply
    7,571.38x = 11,358.32 × 2,642.46
  4. Step 4: Simplify right side
    7,571.38x = 30,013,906.27
  5. Step 5: Solve for x
    x = 30,013,906.27/7,571.38
  6. Step 6: Final answer
    x = 3,964.13

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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.