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Finding the Fourth Proportional to 6,773.26, 10,164.78 and 4,178.02

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Solution

The fourth proportional to 6,773.26, 10,164.78 and 4,178.02 is: 6,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.26 : 10,164.78 = 4,178.02 : x
  2. Step 2: Convert to fraction form
    6,773.26/10,164.78 = 4,178.02/x
  3. Step 3: Cross multiply
    6,773.26x = 10,164.78 × 4,178.02
  4. Step 4: Simplify right side
    6,773.26x = 42,468,654.14
  5. Step 5: Solve for x
    x = 42,468,654.14/6,773.26
  6. Step 6: Final answer
    x = 6,270.05

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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.