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Finding the Fourth Proportional to 6,952.37, 10,426.94 and 3,257.15

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Solution

The fourth proportional to 6,952.37, 10,426.94 and 3,257.15 is: 4,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.37 : 10,426.94 = 3,257.15 : x
  2. Step 2: Convert to fraction form
    6,952.37/10,426.94 = 3,257.15/x
  3. Step 3: Cross multiply
    6,952.37x = 10,426.94 × 3,257.15
  4. Step 4: Simplify right side
    6,952.37x = 33,962,091.34
  5. Step 5: Solve for x
    x = 33,962,091.34/6,952.37
  6. Step 6: Final answer
    x = 4,884.97

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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.