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Finding the Fourth Proportional to 10,270.78, 14,174.04 and 5,794.27

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Solution

The fourth proportional to 10,270.78, 14,174.04 and 5,794.27 is: 7,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.78 : 14,174.04 = 5,794.27 : x
  2. Step 2: Convert to fraction form
    10,270.78/14,174.04 = 5,794.27/x
  3. Step 3: Cross multiply
    10,270.78x = 14,174.04 × 5,794.27
  4. Step 4: Simplify right side
    10,270.78x = 82,128,214.75
  5. Step 5: Solve for x
    x = 82,128,214.75/10,270.78
  6. Step 6: Final answer
    x = 7,996.30

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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.