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Finding the Fourth Proportional to 11,523.70, 17,284.94 and 3,204.19

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Solution

The fourth proportional to 11,523.70, 17,284.94 and 3,204.19 is: 4,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.70 : 17,284.94 = 3,204.19 : x
  2. Step 2: Convert to fraction form
    11,523.70/17,284.94 = 3,204.19/x
  3. Step 3: Cross multiply
    11,523.70x = 17,284.94 × 3,204.19
  4. Step 4: Simplify right side
    11,523.70x = 55,384,129.45
  5. Step 5: Solve for x
    x = 55,384,129.45/11,523.70
  6. Step 6: Final answer
    x = 4,806.11

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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.