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Finding the Fourth Proportional to 11,952.22, 16,493.69 and 6,574.63

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Solution

The fourth proportional to 11,952.22, 16,493.69 and 6,574.63 is: 9,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.22 : 16,493.69 = 6,574.63 : x
  2. Step 2: Convert to fraction form
    11,952.22/16,493.69 = 6,574.63/x
  3. Step 3: Cross multiply
    11,952.22x = 16,493.69 × 6,574.63
  4. Step 4: Simplify right side
    11,952.22x = 108,439,910.67
  5. Step 5: Solve for x
    x = 108,439,910.67/11,952.22
  6. Step 6: Final answer
    x = 9,072.78

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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.