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Finding the Fourth Proportional to 8,304.72, 12,457.21 and 2,461.24

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Solution

The fourth proportional to 8,304.72, 12,457.21 and 2,461.24 is: 3,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.72 : 12,457.21 = 2,461.24 : x
  2. Step 2: Convert to fraction form
    8,304.72/12,457.21 = 2,461.24/x
  3. Step 3: Cross multiply
    8,304.72x = 12,457.21 × 2,461.24
  4. Step 4: Simplify right side
    8,304.72x = 30,660,183.54
  5. Step 5: Solve for x
    x = 30,660,183.54/8,304.72
  6. Step 6: Final answer
    x = 3,691.90

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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.