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Finding the Fourth Proportional to 11,930.59, 17,868.63 and 5,694.99

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Solution

The fourth proportional to 11,930.59, 17,868.63 and 5,694.99 is: 8,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.59 : 17,868.63 = 5,694.99 : x
  2. Step 2: Convert to fraction form
    11,930.59/17,868.63 = 5,694.99/x
  3. Step 3: Cross multiply
    11,930.59x = 17,868.63 × 5,694.99
  4. Step 4: Simplify right side
    11,930.59x = 101,761,724.02
  5. Step 5: Solve for x
    x = 101,761,724.02/11,930.59
  6. Step 6: Final answer
    x = 8,529.48

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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.