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Finding the Fourth Proportional to 10,679.40, 16,020.77 and 5,131.71

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Solution

The fourth proportional to 10,679.40, 16,020.77 and 5,131.71 is: 7,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.40 : 16,020.77 = 5,131.71 : x
  2. Step 2: Convert to fraction form
    10,679.40/16,020.77 = 5,131.71/x
  3. Step 3: Cross multiply
    10,679.40x = 16,020.77 × 5,131.71
  4. Step 4: Simplify right side
    10,679.40x = 82,213,919.96
  5. Step 5: Solve for x
    x = 82,213,919.96/10,679.40
  6. Step 6: Final answer
    x = 7,698.37

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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.