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Finding the Fourth Proportional to 7,309.25, 10,086.75 and 3,952.05

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Solution

The fourth proportional to 7,309.25, 10,086.75 and 3,952.05 is: 5,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.25 : 10,086.75 = 3,952.05 : x
  2. Step 2: Convert to fraction form
    7,309.25/10,086.75 = 3,952.05/x
  3. Step 3: Cross multiply
    7,309.25x = 10,086.75 × 3,952.05
  4. Step 4: Simplify right side
    7,309.25x = 39,863,384.55
  5. Step 5: Solve for x
    x = 39,863,384.55/7,309.25
  6. Step 6: Final answer
    x = 5,453.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.