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Finding the Fourth Proportional to 8,315.26, 12,473.43 and 2,471.38

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Solution

The fourth proportional to 8,315.26, 12,473.43 and 2,471.38 is: 3,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.26 : 12,473.43 = 2,471.38 : x
  2. Step 2: Convert to fraction form
    8,315.26/12,473.43 = 2,471.38/x
  3. Step 3: Cross multiply
    8,315.26x = 12,473.43 × 2,471.38
  4. Step 4: Simplify right side
    8,315.26x = 30,826,585.43
  5. Step 5: Solve for x
    x = 30,826,585.43/8,315.26
  6. Step 6: Final answer
    x = 3,707.23

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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.