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Finding the Fourth Proportional to 11,409.52, 17,114.52 and 3,914.83

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Solution

The fourth proportional to 11,409.52, 17,114.52 and 3,914.83 is: 5,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.52 : 17,114.52 = 3,914.83 : x
  2. Step 2: Convert to fraction form
    11,409.52/17,114.52 = 3,914.83/x
  3. Step 3: Cross multiply
    11,409.52x = 17,114.52 × 3,914.83
  4. Step 4: Simplify right side
    11,409.52x = 67,000,436.33
  5. Step 5: Solve for x
    x = 67,000,436.33/11,409.52
  6. Step 6: Final answer
    x = 5,872.33

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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.