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Finding the Fourth Proportional to 11,814, 17,723.88 and 3,606

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Solution

The fourth proportional to 11,814, 17,723.88 and 3,606 is: 5,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814 : 17,723.88 = 3,606 : x
  2. Step 2: Convert to fraction form
    11,814/17,723.88 = 3,606/x
  3. Step 3: Cross multiply
    11,814x = 17,723.88 × 3,606
  4. Step 4: Simplify right side
    11,814x = 63,912,311.28
  5. Step 5: Solve for x
    x = 63,912,311.28/11,814
  6. Step 6: Final answer
    x = 5,409.88

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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.