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Finding the Fourth Proportional to 6,682.08, 10,024.02 and 2,785.57

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Solution

The fourth proportional to 6,682.08, 10,024.02 and 2,785.57 is: 4,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.08 : 10,024.02 = 2,785.57 : x
  2. Step 2: Convert to fraction form
    6,682.08/10,024.02 = 2,785.57/x
  3. Step 3: Cross multiply
    6,682.08x = 10,024.02 × 2,785.57
  4. Step 4: Simplify right side
    6,682.08x = 27,922,609.39
  5. Step 5: Solve for x
    x = 27,922,609.39/6,682.08
  6. Step 6: Final answer
    x = 4,178.73

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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.