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Finding the Fourth Proportional to 7,747.63, 11,600.17 and 5,409.97

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Solution

The fourth proportional to 7,747.63, 11,600.17 and 5,409.97 is: 8,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.63 : 11,600.17 = 5,409.97 : x
  2. Step 2: Convert to fraction form
    7,747.63/11,600.17 = 5,409.97/x
  3. Step 3: Cross multiply
    7,747.63x = 11,600.17 × 5,409.97
  4. Step 4: Simplify right side
    7,747.63x = 62,756,571.69
  5. Step 5: Solve for x
    x = 62,756,571.69/7,747.63
  6. Step 6: Final answer
    x = 8,100.10

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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.