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Finding the Fourth Proportional to 8,216.38, 12,324.54 and 3,831.40

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Solution

The fourth proportional to 8,216.38, 12,324.54 and 3,831.40 is: 5,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.38 : 12,324.54 = 3,831.40 : x
  2. Step 2: Convert to fraction form
    8,216.38/12,324.54 = 3,831.40/x
  3. Step 3: Cross multiply
    8,216.38x = 12,324.54 × 3,831.40
  4. Step 4: Simplify right side
    8,216.38x = 47,220,242.56
  5. Step 5: Solve for x
    x = 47,220,242.56/8,216.38
  6. Step 6: Final answer
    x = 5,747.09

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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.