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Finding the Fourth Proportional to 8,282.72, 12,424.19 and 2,439.45

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Solution

The fourth proportional to 8,282.72, 12,424.19 and 2,439.45 is: 3,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.72 : 12,424.19 = 2,439.45 : x
  2. Step 2: Convert to fraction form
    8,282.72/12,424.19 = 2,439.45/x
  3. Step 3: Cross multiply
    8,282.72x = 12,424.19 × 2,439.45
  4. Step 4: Simplify right side
    8,282.72x = 30,308,178.10
  5. Step 5: Solve for x
    x = 30,308,178.10/8,282.72
  6. Step 6: Final answer
    x = 3,659.20

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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.