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Finding the Fourth Proportional to 11,733.52, 17,602.90 and 3,942.12

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Solution

The fourth proportional to 11,733.52, 17,602.90 and 3,942.12 is: 5,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.52 : 17,602.90 = 3,942.12 : x
  2. Step 2: Convert to fraction form
    11,733.52/17,602.90 = 3,942.12/x
  3. Step 3: Cross multiply
    11,733.52x = 17,602.90 × 3,942.12
  4. Step 4: Simplify right side
    11,733.52x = 69,392,744.15
  5. Step 5: Solve for x
    x = 69,392,744.15/11,733.52
  6. Step 6: Final answer
    x = 5,914.06

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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.