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Finding the Fourth Proportional to 8,713.69, 13,066.42 and 3,163.15

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Solution

The fourth proportional to 8,713.69, 13,066.42 and 3,163.15 is: 4,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.69 : 13,066.42 = 3,163.15 : x
  2. Step 2: Convert to fraction form
    8,713.69/13,066.42 = 3,163.15/x
  3. Step 3: Cross multiply
    8,713.69x = 13,066.42 × 3,163.15
  4. Step 4: Simplify right side
    8,713.69x = 41,331,046.42
  5. Step 5: Solve for x
    x = 41,331,046.42/8,713.69
  6. Step 6: Final answer
    x = 4,743.23

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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.