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Finding the Fourth Proportional to 11,907.92, 17,863.32 and 4,982.48

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Solution

The fourth proportional to 11,907.92, 17,863.32 and 4,982.48 is: 7,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.92 : 17,863.32 = 4,982.48 : x
  2. Step 2: Convert to fraction form
    11,907.92/17,863.32 = 4,982.48/x
  3. Step 3: Cross multiply
    11,907.92x = 17,863.32 × 4,982.48
  4. Step 4: Simplify right side
    11,907.92x = 89,003,634.63
  5. Step 5: Solve for x
    x = 89,003,634.63/11,907.92
  6. Step 6: Final answer
    x = 7,474.32

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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.