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Finding the Fourth Proportional to 8,081.29, 11,149.50 and 6,586.64

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Solution

The fourth proportional to 8,081.29, 11,149.50 and 6,586.64 is: 9,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.29 : 11,149.50 = 6,586.64 : x
  2. Step 2: Convert to fraction form
    8,081.29/11,149.50 = 6,586.64/x
  3. Step 3: Cross multiply
    8,081.29x = 11,149.50 × 6,586.64
  4. Step 4: Simplify right side
    8,081.29x = 73,437,742.68
  5. Step 5: Solve for x
    x = 73,437,742.68/8,081.29
  6. Step 6: Final answer
    x = 9,087.38

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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.