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Finding the Fourth Proportional to 7,918.72, 11,882.21 and 5,745.38

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Solution

The fourth proportional to 7,918.72, 11,882.21 and 5,745.38 is: 8,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.72 : 11,882.21 = 5,745.38 : x
  2. Step 2: Convert to fraction form
    7,918.72/11,882.21 = 5,745.38/x
  3. Step 3: Cross multiply
    7,918.72x = 11,882.21 × 5,745.38
  4. Step 4: Simplify right side
    7,918.72x = 68,267,811.69
  5. Step 5: Solve for x
    x = 68,267,811.69/7,918.72
  6. Step 6: Final answer
    x = 8,621.07

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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.