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Finding the Fourth Proportional to 11,930.42, 17,896.09 and 3,165.41

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Solution

The fourth proportional to 11,930.42, 17,896.09 and 3,165.41 is: 4,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.42 : 17,896.09 = 3,165.41 : x
  2. Step 2: Convert to fraction form
    11,930.42/17,896.09 = 3,165.41/x
  3. Step 3: Cross multiply
    11,930.42x = 17,896.09 × 3,165.41
  4. Step 4: Simplify right side
    11,930.42x = 56,648,505.01
  5. Step 5: Solve for x
    x = 56,648,505.01/11,930.42
  6. Step 6: Final answer
    x = 4,748.24

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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.