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Finding the Fourth Proportional to 8,131.65, 11,221.89 and 4,986

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Solution

The fourth proportional to 8,131.65, 11,221.89 and 4,986 is: 6,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.65 : 11,221.89 = 4,986 : x
  2. Step 2: Convert to fraction form
    8,131.65/11,221.89 = 4,986/x
  3. Step 3: Cross multiply
    8,131.65x = 11,221.89 × 4,986
  4. Step 4: Simplify right side
    8,131.65x = 55,952,343.54
  5. Step 5: Solve for x
    x = 55,952,343.54/8,131.65
  6. Step 6: Final answer
    x = 6,880.81

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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.