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Finding the Fourth Proportional to 11,993.41, 16,561.32 and 7,524.85

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Solution

The fourth proportional to 11,993.41, 16,561.32 and 7,524.85 is: 10,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.41 : 16,561.32 = 7,524.85 : x
  2. Step 2: Convert to fraction form
    11,993.41/16,561.32 = 7,524.85/x
  3. Step 3: Cross multiply
    11,993.41x = 16,561.32 × 7,524.85
  4. Step 4: Simplify right side
    11,993.41x = 124,621,448.80
  5. Step 5: Solve for x
    x = 124,621,448.80/11,993.41
  6. Step 6: Final answer
    x = 10,390.83

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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.