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Finding the Fourth Proportional to 8,213.09, 11,327.81 and 7,080.71

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Solution

The fourth proportional to 8,213.09, 11,327.81 and 7,080.71 is: 9,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.09 : 11,327.81 = 7,080.71 : x
  2. Step 2: Convert to fraction form
    8,213.09/11,327.81 = 7,080.71/x
  3. Step 3: Cross multiply
    8,213.09x = 11,327.81 × 7,080.71
  4. Step 4: Simplify right side
    8,213.09x = 80,208,937.55
  5. Step 5: Solve for x
    x = 80,208,937.55/8,213.09
  6. Step 6: Final answer
    x = 9,765.99

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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.