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Finding the Fourth Proportional to 8,216.34, 12,314.76 and 3,824.70

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Solution

The fourth proportional to 8,216.34, 12,314.76 and 3,824.70 is: 5,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.34 : 12,314.76 = 3,824.70 : x
  2. Step 2: Convert to fraction form
    8,216.34/12,314.76 = 3,824.70/x
  3. Step 3: Cross multiply
    8,216.34x = 12,314.76 × 3,824.70
  4. Step 4: Simplify right side
    8,216.34x = 47,100,262.57
  5. Step 5: Solve for x
    x = 47,100,262.57/8,216.34
  6. Step 6: Final answer
    x = 5,732.51

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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.