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Finding the Fourth Proportional to 11,471.15, 17,207.22 and 3,151.98

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Solution

The fourth proportional to 11,471.15, 17,207.22 and 3,151.98 is: 4,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.15 : 17,207.22 = 3,151.98 : x
  2. Step 2: Convert to fraction form
    11,471.15/17,207.22 = 3,151.98/x
  3. Step 3: Cross multiply
    11,471.15x = 17,207.22 × 3,151.98
  4. Step 4: Simplify right side
    11,471.15x = 54,236,813.30
  5. Step 5: Solve for x
    x = 54,236,813.30/11,471.15
  6. Step 6: Final answer
    x = 4,728.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.