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Finding the Fourth Proportional to 6,785.54, 10,182.09 and 3,665.48

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Solution

The fourth proportional to 6,785.54, 10,182.09 and 3,665.48 is: 5,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.54 : 10,182.09 = 3,665.48 : x
  2. Step 2: Convert to fraction form
    6,785.54/10,182.09 = 3,665.48/x
  3. Step 3: Cross multiply
    6,785.54x = 10,182.09 × 3,665.48
  4. Step 4: Simplify right side
    6,785.54x = 37,322,247.25
  5. Step 5: Solve for x
    x = 37,322,247.25/6,785.54
  6. Step 6: Final answer
    x = 5,500.26

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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.