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Finding the Fourth Proportional to 6,770.69, 10,153.47 and 2,327.09

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Solution

The fourth proportional to 6,770.69, 10,153.47 and 2,327.09 is: 3,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.69 : 10,153.47 = 2,327.09 : x
  2. Step 2: Convert to fraction form
    6,770.69/10,153.47 = 2,327.09/x
  3. Step 3: Cross multiply
    6,770.69x = 10,153.47 × 2,327.09
  4. Step 4: Simplify right side
    6,770.69x = 23,627,987.73
  5. Step 5: Solve for x
    x = 23,627,987.73/6,770.69
  6. Step 6: Final answer
    x = 3,489.75

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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.