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Finding the Fourth Proportional to 8,250.91, 11,382.09 and 5,894.42

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Solution

The fourth proportional to 8,250.91, 11,382.09 and 5,894.42 is: 8,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.91 : 11,382.09 = 5,894.42 : x
  2. Step 2: Convert to fraction form
    8,250.91/11,382.09 = 5,894.42/x
  3. Step 3: Cross multiply
    8,250.91x = 11,382.09 × 5,894.42
  4. Step 4: Simplify right side
    8,250.91x = 67,090,762.03
  5. Step 5: Solve for x
    x = 67,090,762.03/8,250.91
  6. Step 6: Final answer
    x = 8,131.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.