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Finding the Fourth Proportional to 11,322.80, 16,991.11 and 7,157.07

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Solution

The fourth proportional to 11,322.80, 16,991.11 and 7,157.07 is: 10,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.80 : 16,991.11 = 7,157.07 : x
  2. Step 2: Convert to fraction form
    11,322.80/16,991.11 = 7,157.07/x
  3. Step 3: Cross multiply
    11,322.80x = 16,991.11 × 7,157.07
  4. Step 4: Simplify right side
    11,322.80x = 121,606,563.65
  5. Step 5: Solve for x
    x = 121,606,563.65/11,322.80
  6. Step 6: Final answer
    x = 10,739.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.