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Finding the Fourth Proportional to 10,732, 16,099.38 and 3,806.56

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Solution

The fourth proportional to 10,732, 16,099.38 and 3,806.56 is: 5,710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732 : 16,099.38 = 3,806.56 : x
  2. Step 2: Convert to fraction form
    10,732/16,099.38 = 3,806.56/x
  3. Step 3: Cross multiply
    10,732x = 16,099.38 × 3,806.56
  4. Step 4: Simplify right side
    10,732x = 61,283,255.93
  5. Step 5: Solve for x
    x = 61,283,255.93/10,732
  6. Step 6: Final answer
    x = 5,710.33

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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.