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Finding the Fourth Proportional to 11,937.69, 17,906.70 and 3,172.56

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Solution

The fourth proportional to 11,937.69, 17,906.70 and 3,172.56 is: 4,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.69 : 17,906.70 = 3,172.56 : x
  2. Step 2: Convert to fraction form
    11,937.69/17,906.70 = 3,172.56/x
  3. Step 3: Cross multiply
    11,937.69x = 17,906.70 × 3,172.56
  4. Step 4: Simplify right side
    11,937.69x = 56,810,080.15
  5. Step 5: Solve for x
    x = 56,810,080.15/11,937.69
  6. Step 6: Final answer
    x = 4,758.88

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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.