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Finding the Fourth Proportional to 10,817.31, 16,204.10 and 8,343.57

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Solution

The fourth proportional to 10,817.31, 16,204.10 and 8,343.57 is: 12,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.31 : 16,204.10 = 8,343.57 : x
  2. Step 2: Convert to fraction form
    10,817.31/16,204.10 = 8,343.57/x
  3. Step 3: Cross multiply
    10,817.31x = 16,204.10 × 8,343.57
  4. Step 4: Simplify right side
    10,817.31x = 135,200,000.92
  5. Step 5: Solve for x
    x = 135,200,000.92/10,817.31
  6. Step 6: Final answer
    x = 12,498.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.