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Finding the Fourth Proportional to 6,767.69, 10,151.87 and 2,090.88

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Solution

The fourth proportional to 6,767.69, 10,151.87 and 2,090.88 is: 3,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.69 : 10,151.87 = 2,090.88 : x
  2. Step 2: Convert to fraction form
    6,767.69/10,151.87 = 2,090.88/x
  3. Step 3: Cross multiply
    6,767.69x = 10,151.87 × 2,090.88
  4. Step 4: Simplify right side
    6,767.69x = 21,226,331.49
  5. Step 5: Solve for x
    x = 21,226,331.49/6,767.69
  6. Step 6: Final answer
    x = 3,136.42

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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.