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Finding the Fourth Proportional to 11,382.50, 17,081.46 and 3,987.02

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Solution

The fourth proportional to 11,382.50, 17,081.46 and 3,987.02 is: 5,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.50 : 17,081.46 = 3,987.02 : x
  2. Step 2: Convert to fraction form
    11,382.50/17,081.46 = 3,987.02/x
  3. Step 3: Cross multiply
    11,382.50x = 17,081.46 × 3,987.02
  4. Step 4: Simplify right side
    11,382.50x = 68,104,122.65
  5. Step 5: Solve for x
    x = 68,104,122.65/11,382.50
  6. Step 6: Final answer
    x = 5,983.23

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Why These Related Problems?

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