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Finding the Fourth Proportional to 11,930.93, 17,896.84 and 3,165.92

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Solution

The fourth proportional to 11,930.93, 17,896.84 and 3,165.92 is: 4,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.93 : 17,896.84 = 3,165.92 : x
  2. Step 2: Convert to fraction form
    11,930.93/17,896.84 = 3,165.92/x
  3. Step 3: Cross multiply
    11,930.93x = 17,896.84 × 3,165.92
  4. Step 4: Simplify right side
    11,930.93x = 56,659,874.21
  5. Step 5: Solve for x
    x = 56,659,874.21/11,930.93
  6. Step 6: Final answer
    x = 4,748.99

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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.