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Finding the Fourth Proportional to 8,174.31, 11,267.07 and 5,781.20

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Solution

The fourth proportional to 8,174.31, 11,267.07 and 5,781.20 is: 7,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.31 : 11,267.07 = 5,781.20 : x
  2. Step 2: Convert to fraction form
    8,174.31/11,267.07 = 5,781.20/x
  3. Step 3: Cross multiply
    8,174.31x = 11,267.07 × 5,781.20
  4. Step 4: Simplify right side
    8,174.31x = 65,137,128.75
  5. Step 5: Solve for x
    x = 65,137,128.75/8,174.31
  6. Step 6: Final answer
    x = 7,968.52

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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.