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Finding the Fourth Proportional to 11,471.84, 17,207.72 and 3,151.86

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Solution

The fourth proportional to 11,471.84, 17,207.72 and 3,151.86 is: 4,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.84 : 17,207.72 = 3,151.86 : x
  2. Step 2: Convert to fraction form
    11,471.84/17,207.72 = 3,151.86/x
  3. Step 3: Cross multiply
    11,471.84x = 17,207.72 × 3,151.86
  4. Step 4: Simplify right side
    11,471.84x = 54,236,308.60
  5. Step 5: Solve for x
    x = 54,236,308.60/11,471.84
  6. Step 6: Final answer
    x = 4,727.78

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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.