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Finding the Fourth Proportional to 6,893.37, 10,323.59 and 3,768.71

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Solution

The fourth proportional to 6,893.37, 10,323.59 and 3,768.71 is: 5,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.37 : 10,323.59 = 3,768.71 : x
  2. Step 2: Convert to fraction form
    6,893.37/10,323.59 = 3,768.71/x
  3. Step 3: Cross multiply
    6,893.37x = 10,323.59 × 3,768.71
  4. Step 4: Simplify right side
    6,893.37x = 38,906,546.41
  5. Step 5: Solve for x
    x = 38,906,546.41/6,893.37
  6. Step 6: Final answer
    x = 5,644.05

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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.