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Finding the Fourth Proportional to 8,147.69, 11,245.01 and 5,163.80

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Solution

The fourth proportional to 8,147.69, 11,245.01 and 5,163.80 is: 7,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.69 : 11,245.01 = 5,163.80 : x
  2. Step 2: Convert to fraction form
    8,147.69/11,245.01 = 5,163.80/x
  3. Step 3: Cross multiply
    8,147.69x = 11,245.01 × 5,163.80
  4. Step 4: Simplify right side
    8,147.69x = 58,066,956.82
  5. Step 5: Solve for x
    x = 58,066,956.82/8,147.69
  6. Step 6: Final answer
    x = 7,126.80

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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.