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Finding the Fourth Proportional to 8,314.50, 12,473.81 and 2,471.09

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Solution

The fourth proportional to 8,314.50, 12,473.81 and 2,471.09 is: 3,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.50 : 12,473.81 = 2,471.09 : x
  2. Step 2: Convert to fraction form
    8,314.50/12,473.81 = 2,471.09/x
  3. Step 3: Cross multiply
    8,314.50x = 12,473.81 × 2,471.09
  4. Step 4: Simplify right side
    8,314.50x = 30,823,832.43
  5. Step 5: Solve for x
    x = 30,823,832.43/8,314.50
  6. Step 6: Final answer
    x = 3,707.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.