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Finding the Fourth Proportional to 7,449.06, 11,163.12 and 5,882.17

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Solution

The fourth proportional to 7,449.06, 11,163.12 and 5,882.17 is: 8,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.06 : 11,163.12 = 5,882.17 : x
  2. Step 2: Convert to fraction form
    7,449.06/11,163.12 = 5,882.17/x
  3. Step 3: Cross multiply
    7,449.06x = 11,163.12 × 5,882.17
  4. Step 4: Simplify right side
    7,449.06x = 65,663,340.54
  5. Step 5: Solve for x
    x = 65,663,340.54/7,449.06
  6. Step 6: Final answer
    x = 8,814.98

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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.