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Finding the Fourth Proportional to 11,794.74, 17,692.74 and 3,029.73

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Solution

The fourth proportional to 11,794.74, 17,692.74 and 3,029.73 is: 4,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.74 : 17,692.74 = 3,029.73 : x
  2. Step 2: Convert to fraction form
    11,794.74/17,692.74 = 3,029.73/x
  3. Step 3: Cross multiply
    11,794.74x = 17,692.74 × 3,029.73
  4. Step 4: Simplify right side
    11,794.74x = 53,604,225.16
  5. Step 5: Solve for x
    x = 53,604,225.16/11,794.74
  6. Step 6: Final answer
    x = 4,544.76

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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.