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Finding the Fourth Proportional to 6,856.44, 10,287.86 and 3,732.74

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Solution

The fourth proportional to 6,856.44, 10,287.86 and 3,732.74 is: 5,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.44 : 10,287.86 = 3,732.74 : x
  2. Step 2: Convert to fraction form
    6,856.44/10,287.86 = 3,732.74/x
  3. Step 3: Cross multiply
    6,856.44x = 10,287.86 × 3,732.74
  4. Step 4: Simplify right side
    6,856.44x = 38,401,836.43
  5. Step 5: Solve for x
    x = 38,401,836.43/6,856.44
  6. Step 6: Final answer
    x = 5,600.84

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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.