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Finding the Fourth Proportional to 11,922.14, 17,871.05 and 5,346.56

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Solution

The fourth proportional to 11,922.14, 17,871.05 and 5,346.56 is: 8,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.14 : 17,871.05 = 5,346.56 : x
  2. Step 2: Convert to fraction form
    11,922.14/17,871.05 = 5,346.56/x
  3. Step 3: Cross multiply
    11,922.14x = 17,871.05 × 5,346.56
  4. Step 4: Simplify right side
    11,922.14x = 95,548,525.00
  5. Step 5: Solve for x
    x = 95,548,525.00/11,922.14
  6. Step 6: Final answer
    x = 8,014.38

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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.