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Finding the Fourth Proportional to 6,771.82, 10,158.70 and 2,092.22

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Solution

The fourth proportional to 6,771.82, 10,158.70 and 2,092.22 is: 3,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.82 : 10,158.70 = 2,092.22 : x
  2. Step 2: Convert to fraction form
    6,771.82/10,158.70 = 2,092.22/x
  3. Step 3: Cross multiply
    6,771.82x = 10,158.70 × 2,092.22
  4. Step 4: Simplify right side
    6,771.82x = 21,254,235.31
  5. Step 5: Solve for x
    x = 21,254,235.31/6,771.82
  6. Step 6: Final answer
    x = 3,138.63

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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.