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Finding the Fourth Proportional to 11,518.80, 17,286.96 and 7,812.24

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Solution

The fourth proportional to 11,518.80, 17,286.96 and 7,812.24 is: 11,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.80 : 17,286.96 = 7,812.24 : x
  2. Step 2: Convert to fraction form
    11,518.80/17,286.96 = 7,812.24/x
  3. Step 3: Cross multiply
    11,518.80x = 17,286.96 × 7,812.24
  4. Step 4: Simplify right side
    11,518.80x = 135,049,880.39
  5. Step 5: Solve for x
    x = 135,049,880.39/11,518.80
  6. Step 6: Final answer
    x = 11,724.30

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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.