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Finding the Fourth Proportional to 11,793.14, 17,689.72 and 3,028.06

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Solution

The fourth proportional to 11,793.14, 17,689.72 and 3,028.06 is: 4,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.14 : 17,689.72 = 3,028.06 : x
  2. Step 2: Convert to fraction form
    11,793.14/17,689.72 = 3,028.06/x
  3. Step 3: Cross multiply
    11,793.14x = 17,689.72 × 3,028.06
  4. Step 4: Simplify right side
    11,793.14x = 53,565,533.54
  5. Step 5: Solve for x
    x = 53,565,533.54/11,793.14
  6. Step 6: Final answer
    x = 4,542.09

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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.