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Finding the Fourth Proportional to 11,716.29, 17,577 and 5,472.90

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Solution

The fourth proportional to 11,716.29, 17,577 and 5,472.90 is: 8,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.29 : 17,577 = 5,472.90 : x
  2. Step 2: Convert to fraction form
    11,716.29/17,577 = 5,472.90/x
  3. Step 3: Cross multiply
    11,716.29x = 17,577 × 5,472.90
  4. Step 4: Simplify right side
    11,716.29x = 96,197,163.30
  5. Step 5: Solve for x
    x = 96,197,163.30/11,716.29
  6. Step 6: Final answer
    x = 8,210.55

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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.