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Finding the Fourth Proportional to 11,589.94, 17,384.82 and 4,191.64

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Solution

The fourth proportional to 11,589.94, 17,384.82 and 4,191.64 is: 6,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.94 : 17,384.82 = 4,191.64 : x
  2. Step 2: Convert to fraction form
    11,589.94/17,384.82 = 4,191.64/x
  3. Step 3: Cross multiply
    11,589.94x = 17,384.82 × 4,191.64
  4. Step 4: Simplify right side
    11,589.94x = 72,870,906.90
  5. Step 5: Solve for x
    x = 72,870,906.90/11,589.94
  6. Step 6: Final answer
    x = 6,287.43

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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.