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Finding the Fourth Proportional to 10,591.50, 15,884.05 and 3,195.34

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Solution

The fourth proportional to 10,591.50, 15,884.05 and 3,195.34 is: 4,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.50 : 15,884.05 = 3,195.34 : x
  2. Step 2: Convert to fraction form
    10,591.50/15,884.05 = 3,195.34/x
  3. Step 3: Cross multiply
    10,591.50x = 15,884.05 × 3,195.34
  4. Step 4: Simplify right side
    10,591.50x = 50,754,940.33
  5. Step 5: Solve for x
    x = 50,754,940.33/10,591.50
  6. Step 6: Final answer
    x = 4,792.04

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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.