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Finding the Fourth Proportional to 11,471.72, 17,207.60 and 3,151.85

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Solution

The fourth proportional to 11,471.72, 17,207.60 and 3,151.85 is: 4,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.72 : 17,207.60 = 3,151.85 : x
  2. Step 2: Convert to fraction form
    11,471.72/17,207.60 = 3,151.85/x
  3. Step 3: Cross multiply
    11,471.72x = 17,207.60 × 3,151.85
  4. Step 4: Simplify right side
    11,471.72x = 54,235,672.26
  5. Step 5: Solve for x
    x = 54,235,672.26/11,471.72
  6. Step 6: Final answer
    x = 4,727.77

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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.