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Finding the Fourth Proportional to 10,768.46, 16,155.94 and 3,843.50

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Solution

The fourth proportional to 10,768.46, 16,155.94 and 3,843.50 is: 5,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.46 : 16,155.94 = 3,843.50 : x
  2. Step 2: Convert to fraction form
    10,768.46/16,155.94 = 3,843.50/x
  3. Step 3: Cross multiply
    10,768.46x = 16,155.94 × 3,843.50
  4. Step 4: Simplify right side
    10,768.46x = 62,095,355.39
  5. Step 5: Solve for x
    x = 62,095,355.39/10,768.46
  6. Step 6: Final answer
    x = 5,766.41

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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.