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Finding the Fourth Proportional to 11,589.65, 17,376.78 and 4,193.13

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Solution

The fourth proportional to 11,589.65, 17,376.78 and 4,193.13 is: 6,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.65 : 17,376.78 = 4,193.13 : x
  2. Step 2: Convert to fraction form
    11,589.65/17,376.78 = 4,193.13/x
  3. Step 3: Cross multiply
    11,589.65x = 17,376.78 × 4,193.13
  4. Step 4: Simplify right side
    11,589.65x = 72,863,097.52
  5. Step 5: Solve for x
    x = 72,863,097.52/11,589.65
  6. Step 6: Final answer
    x = 6,286.91

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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.