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Finding the Fourth Proportional to 11,974.19, 17,960.88 and 3,208.64

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Solution

The fourth proportional to 11,974.19, 17,960.88 and 3,208.64 is: 4,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.19 : 17,960.88 = 3,208.64 : x
  2. Step 2: Convert to fraction form
    11,974.19/17,960.88 = 3,208.64/x
  3. Step 3: Cross multiply
    11,974.19x = 17,960.88 × 3,208.64
  4. Step 4: Simplify right side
    11,974.19x = 57,629,998.00
  5. Step 5: Solve for x
    x = 57,629,998.00/11,974.19
  6. Step 6: Final answer
    x = 4,812.85

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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.