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Finding the Fourth Proportional to 11,727.23, 17,568.65 and 5,797.22

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Solution

The fourth proportional to 11,727.23, 17,568.65 and 5,797.22 is: 8,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.23 : 17,568.65 = 5,797.22 : x
  2. Step 2: Convert to fraction form
    11,727.23/17,568.65 = 5,797.22/x
  3. Step 3: Cross multiply
    11,727.23x = 17,568.65 × 5,797.22
  4. Step 4: Simplify right side
    11,727.23x = 101,849,322.02
  5. Step 5: Solve for x
    x = 101,849,322.02/11,727.23
  6. Step 6: Final answer
    x = 8,684.86

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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.