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Finding the Fourth Proportional to 11,907.28, 17,847.96 and 8,002

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Solution

The fourth proportional to 11,907.28, 17,847.96 and 8,002 is: 11,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.28 : 17,847.96 = 8,002 : x
  2. Step 2: Convert to fraction form
    11,907.28/17,847.96 = 8,002/x
  3. Step 3: Cross multiply
    11,907.28x = 17,847.96 × 8,002
  4. Step 4: Simplify right side
    11,907.28x = 142,819,375.92
  5. Step 5: Solve for x
    x = 142,819,375.92/11,907.28
  6. Step 6: Final answer
    x = 11,994.29

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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.