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Finding the Fourth Proportional to 8,086.38, 11,160.63 and 7,717.02

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Solution

The fourth proportional to 8,086.38, 11,160.63 and 7,717.02 is: 10,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.38 : 11,160.63 = 7,717.02 : x
  2. Step 2: Convert to fraction form
    8,086.38/11,160.63 = 7,717.02/x
  3. Step 3: Cross multiply
    8,086.38x = 11,160.63 × 7,717.02
  4. Step 4: Simplify right side
    8,086.38x = 86,126,804.92
  5. Step 5: Solve for x
    x = 86,126,804.92/8,086.38
  6. Step 6: Final answer
    x = 10,650.85

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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.