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Finding the Fourth Proportional to 11,736.42, 16,195.78 and 7,023.30

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Solution

The fourth proportional to 11,736.42, 16,195.78 and 7,023.30 is: 9,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.42 : 16,195.78 = 7,023.30 : x
  2. Step 2: Convert to fraction form
    11,736.42/16,195.78 = 7,023.30/x
  3. Step 3: Cross multiply
    11,736.42x = 16,195.78 × 7,023.30
  4. Step 4: Simplify right side
    11,736.42x = 113,747,821.67
  5. Step 5: Solve for x
    x = 113,747,821.67/11,736.42
  6. Step 6: Final answer
    x = 9,691.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.