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Finding the Fourth Proportional to 8,462.31, 11,687.19 and 5,817.39

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Solution

The fourth proportional to 8,462.31, 11,687.19 and 5,817.39 is: 8,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.31 : 11,687.19 = 5,817.39 : x
  2. Step 2: Convert to fraction form
    8,462.31/11,687.19 = 5,817.39/x
  3. Step 3: Cross multiply
    8,462.31x = 11,687.19 × 5,817.39
  4. Step 4: Simplify right side
    8,462.31x = 67,988,942.23
  5. Step 5: Solve for x
    x = 67,988,942.23/8,462.31
  6. Step 6: Final answer
    x = 8,034.32

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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.