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Finding the Fourth Proportional to 6,824.40, 10,220.16 and 3,893.82

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Solution

The fourth proportional to 6,824.40, 10,220.16 and 3,893.82 is: 5,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.40 : 10,220.16 = 3,893.82 : x
  2. Step 2: Convert to fraction form
    6,824.40/10,220.16 = 3,893.82/x
  3. Step 3: Cross multiply
    6,824.40x = 10,220.16 × 3,893.82
  4. Step 4: Simplify right side
    6,824.40x = 39,795,463.41
  5. Step 5: Solve for x
    x = 39,795,463.41/6,824.40
  6. Step 6: Final answer
    x = 5,831.35

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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.