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Finding the Fourth Proportional to 6,952.25, 10,429.46 and 2,336.33

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Solution

The fourth proportional to 6,952.25, 10,429.46 and 2,336.33 is: 3,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.25 : 10,429.46 = 2,336.33 : x
  2. Step 2: Convert to fraction form
    6,952.25/10,429.46 = 2,336.33/x
  3. Step 3: Cross multiply
    6,952.25x = 10,429.46 × 2,336.33
  4. Step 4: Simplify right side
    6,952.25x = 24,366,660.28
  5. Step 5: Solve for x
    x = 24,366,660.28/6,952.25
  6. Step 6: Final answer
    x = 3,504.86

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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.