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Finding the Fourth Proportional to 8,315.24, 12,469.22 and 2,472.20

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Solution

The fourth proportional to 8,315.24, 12,469.22 and 2,472.20 is: 3,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.24 : 12,469.22 = 2,472.20 : x
  2. Step 2: Convert to fraction form
    8,315.24/12,469.22 = 2,472.20/x
  3. Step 3: Cross multiply
    8,315.24x = 12,469.22 × 2,472.20
  4. Step 4: Simplify right side
    8,315.24x = 30,826,405.68
  5. Step 5: Solve for x
    x = 30,826,405.68/8,315.24
  6. Step 6: Final answer
    x = 3,707.22

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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.