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Finding the Fourth Proportional to 11,752.80, 16,217.21 and 6,716.22

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Solution

The fourth proportional to 11,752.80, 16,217.21 and 6,716.22 is: 9,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.80 : 16,217.21 = 6,716.22 : x
  2. Step 2: Convert to fraction form
    11,752.80/16,217.21 = 6,716.22/x
  3. Step 3: Cross multiply
    11,752.80x = 16,217.21 × 6,716.22
  4. Step 4: Simplify right side
    11,752.80x = 108,918,306.12
  5. Step 5: Solve for x
    x = 108,918,306.12/11,752.80
  6. Step 6: Final answer
    x = 9,267.44

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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.