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Finding the Fourth Proportional to 11,606.26, 17,409.78 and 3,815.68

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Solution

The fourth proportional to 11,606.26, 17,409.78 and 3,815.68 is: 5,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.26 : 17,409.78 = 3,815.68 : x
  2. Step 2: Convert to fraction form
    11,606.26/17,409.78 = 3,815.68/x
  3. Step 3: Cross multiply
    11,606.26x = 17,409.78 × 3,815.68
  4. Step 4: Simplify right side
    11,606.26x = 66,430,149.35
  5. Step 5: Solve for x
    x = 66,430,149.35/11,606.26
  6. Step 6: Final answer
    x = 5,723.65

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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.