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Finding the Fourth Proportional to 10,936.05, 16,404.14 and 3,916.32

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Solution

The fourth proportional to 10,936.05, 16,404.14 and 3,916.32 is: 5,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,936.05 : 16,404.14 = 3,916.32 : x
  2. Step 2: Convert to fraction form
    10,936.05/16,404.14 = 3,916.32/x
  3. Step 3: Cross multiply
    10,936.05x = 16,404.14 × 3,916.32
  4. Step 4: Simplify right side
    10,936.05x = 64,243,861.56
  5. Step 5: Solve for x
    x = 64,243,861.56/10,936.05
  6. Step 6: Final answer
    x = 5,874.50

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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.