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Finding the Fourth Proportional to 7,836.89, 10,791.23 and 6,772.68

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Solution

The fourth proportional to 7,836.89, 10,791.23 and 6,772.68 is: 9,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.89 : 10,791.23 = 6,772.68 : x
  2. Step 2: Convert to fraction form
    7,836.89/10,791.23 = 6,772.68/x
  3. Step 3: Cross multiply
    7,836.89x = 10,791.23 × 6,772.68
  4. Step 4: Simplify right side
    7,836.89x = 73,085,513.73
  5. Step 5: Solve for x
    x = 73,085,513.73/7,836.89
  6. Step 6: Final answer
    x = 9,325.84

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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.