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Finding the Fourth Proportional to 6,951.90, 10,414.41 and 3,864.54

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Solution

The fourth proportional to 6,951.90, 10,414.41 and 3,864.54 is: 5,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.90 : 10,414.41 = 3,864.54 : x
  2. Step 2: Convert to fraction form
    6,951.90/10,414.41 = 3,864.54/x
  3. Step 3: Cross multiply
    6,951.90x = 10,414.41 × 3,864.54
  4. Step 4: Simplify right side
    6,951.90x = 40,246,904.02
  5. Step 5: Solve for x
    x = 40,246,904.02/6,951.90
  6. Step 6: Final answer
    x = 5,789.34

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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.