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Finding the Fourth Proportional to 6,740.37, 10,112.37 and 3,820.73

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Solution

The fourth proportional to 6,740.37, 10,112.37 and 3,820.73 is: 5,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.37 : 10,112.37 = 3,820.73 : x
  2. Step 2: Convert to fraction form
    6,740.37/10,112.37 = 3,820.73/x
  3. Step 3: Cross multiply
    6,740.37x = 10,112.37 × 3,820.73
  4. Step 4: Simplify right side
    6,740.37x = 38,636,584.87
  5. Step 5: Solve for x
    x = 38,636,584.87/6,740.37
  6. Step 6: Final answer
    x = 5,732.12

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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.