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Finding the Fourth Proportional to 6,778.59, 10,169.48 and 2,161.59

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Solution

The fourth proportional to 6,778.59, 10,169.48 and 2,161.59 is: 3,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.59 : 10,169.48 = 2,161.59 : x
  2. Step 2: Convert to fraction form
    6,778.59/10,169.48 = 2,161.59/x
  3. Step 3: Cross multiply
    6,778.59x = 10,169.48 × 2,161.59
  4. Step 4: Simplify right side
    6,778.59x = 21,982,246.27
  5. Step 5: Solve for x
    x = 21,982,246.27/6,778.59
  6. Step 6: Final answer
    x = 3,242.89

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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.