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Finding the Fourth Proportional to 8,314.72, 12,471.84 and 2,471.44

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Solution

The fourth proportional to 8,314.72, 12,471.84 and 2,471.44 is: 3,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.72 : 12,471.84 = 2,471.44 : x
  2. Step 2: Convert to fraction form
    8,314.72/12,471.84 = 2,471.44/x
  3. Step 3: Cross multiply
    8,314.72x = 12,471.84 × 2,471.44
  4. Step 4: Simplify right side
    8,314.72x = 30,823,404.25
  5. Step 5: Solve for x
    x = 30,823,404.25/8,314.72
  6. Step 6: Final answer
    x = 3,707.09

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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.