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Finding the Fourth Proportional to 10,667, 16,006.26 and 5,195

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Solution

The fourth proportional to 10,667, 16,006.26 and 5,195 is: 7,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667 : 16,006.26 = 5,195 : x
  2. Step 2: Convert to fraction form
    10,667/16,006.26 = 5,195/x
  3. Step 3: Cross multiply
    10,667x = 16,006.26 × 5,195
  4. Step 4: Simplify right side
    10,667x = 83,152,520.70
  5. Step 5: Solve for x
    x = 83,152,520.70/10,667
  6. Step 6: Final answer
    x = 7,795.31

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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.