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Finding the Fourth Proportional to 10,795.50, 16,188.39 and 4,221.54

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Solution

The fourth proportional to 10,795.50, 16,188.39 and 4,221.54 is: 6,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.50 : 16,188.39 = 4,221.54 : x
  2. Step 2: Convert to fraction form
    10,795.50/16,188.39 = 4,221.54/x
  3. Step 3: Cross multiply
    10,795.50x = 16,188.39 × 4,221.54
  4. Step 4: Simplify right side
    10,795.50x = 68,339,935.92
  5. Step 5: Solve for x
    x = 68,339,935.92/10,795.50
  6. Step 6: Final answer
    x = 6,330.41

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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.