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Finding the Fourth Proportional to 8,174.78, 12,264.21 and 2,331.44

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Solution

The fourth proportional to 8,174.78, 12,264.21 and 2,331.44 is: 3,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.78 : 12,264.21 = 2,331.44 : x
  2. Step 2: Convert to fraction form
    8,174.78/12,264.21 = 2,331.44/x
  3. Step 3: Cross multiply
    8,174.78x = 12,264.21 × 2,331.44
  4. Step 4: Simplify right side
    8,174.78x = 28,593,269.76
  5. Step 5: Solve for x
    x = 28,593,269.76/8,174.78
  6. Step 6: Final answer
    x = 3,497.74

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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.