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Finding the Fourth Proportional to 8,174.42, 12,261.74 and 2,331.03

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Solution

The fourth proportional to 8,174.42, 12,261.74 and 2,331.03 is: 3,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.42 : 12,261.74 = 2,331.03 : x
  2. Step 2: Convert to fraction form
    8,174.42/12,261.74 = 2,331.03/x
  3. Step 3: Cross multiply
    8,174.42x = 12,261.74 × 2,331.03
  4. Step 4: Simplify right side
    8,174.42x = 28,582,456.05
  5. Step 5: Solve for x
    x = 28,582,456.05/8,174.42
  6. Step 6: Final answer
    x = 3,496.57

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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.