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Finding the Fourth Proportional to 11,517.50, 17,276.25 and 3,309.50

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Solution

The fourth proportional to 11,517.50, 17,276.25 and 3,309.50 is: 4,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.50 : 17,276.25 = 3,309.50 : x
  2. Step 2: Convert to fraction form
    11,517.50/17,276.25 = 3,309.50/x
  3. Step 3: Cross multiply
    11,517.50x = 17,276.25 × 3,309.50
  4. Step 4: Simplify right side
    11,517.50x = 57,175,749.38
  5. Step 5: Solve for x
    x = 57,175,749.38/11,517.50
  6. Step 6: Final answer
    x = 4,964.25

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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.