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Finding the Fourth Proportional to 11,991.42, 16,544.13 and 6,953.80

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Solution

The fourth proportional to 11,991.42, 16,544.13 and 6,953.80 is: 9,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.42 : 16,544.13 = 6,953.80 : x
  2. Step 2: Convert to fraction form
    11,991.42/16,544.13 = 6,953.80/x
  3. Step 3: Cross multiply
    11,991.42x = 16,544.13 × 6,953.80
  4. Step 4: Simplify right side
    11,991.42x = 115,044,620.42
  5. Step 5: Solve for x
    x = 115,044,620.42/11,991.42
  6. Step 6: Final answer
    x = 9,593.91

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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.