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Finding the Fourth Proportional to 8,731.96, 12,054.23 and 5,589.97

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Solution

The fourth proportional to 8,731.96, 12,054.23 and 5,589.97 is: 7,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.96 : 12,054.23 = 5,589.97 : x
  2. Step 2: Convert to fraction form
    8,731.96/12,054.23 = 5,589.97/x
  3. Step 3: Cross multiply
    8,731.96x = 12,054.23 × 5,589.97
  4. Step 4: Simplify right side
    8,731.96x = 67,382,784.07
  5. Step 5: Solve for x
    x = 67,382,784.07/8,731.96
  6. Step 6: Final answer
    x = 7,716.80

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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.