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Finding the Fourth Proportional to 6,794.80, 10,192.14 and 2,177.80

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Solution

The fourth proportional to 6,794.80, 10,192.14 and 2,177.80 is: 3,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.80 : 10,192.14 = 2,177.80 : x
  2. Step 2: Convert to fraction form
    6,794.80/10,192.14 = 2,177.80/x
  3. Step 3: Cross multiply
    6,794.80x = 10,192.14 × 2,177.80
  4. Step 4: Simplify right side
    6,794.80x = 22,196,442.49
  5. Step 5: Solve for x
    x = 22,196,442.49/6,794.80
  6. Step 6: Final answer
    x = 3,266.68

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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.