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Finding the Fourth Proportional to 6,824.70, 10,220.64 and 3,894.12

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Solution

The fourth proportional to 6,824.70, 10,220.64 and 3,894.12 is: 5,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.70 : 10,220.64 = 3,894.12 : x
  2. Step 2: Convert to fraction form
    6,824.70/10,220.64 = 3,894.12/x
  3. Step 3: Cross multiply
    6,824.70x = 10,220.64 × 3,894.12
  4. Step 4: Simplify right side
    6,824.70x = 39,800,398.64
  5. Step 5: Solve for x
    x = 39,800,398.64/6,824.70
  6. Step 6: Final answer
    x = 5,831.82

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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.