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Finding the Fourth Proportional to 11,796.95, 17,692.58 and 3,474.71

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Solution

The fourth proportional to 11,796.95, 17,692.58 and 3,474.71 is: 5,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.95 : 17,692.58 = 3,474.71 : x
  2. Step 2: Convert to fraction form
    11,796.95/17,692.58 = 3,474.71/x
  3. Step 3: Cross multiply
    11,796.95x = 17,692.58 × 3,474.71
  4. Step 4: Simplify right side
    11,796.95x = 61,476,637.57
  5. Step 5: Solve for x
    x = 61,476,637.57/11,796.95
  6. Step 6: Final answer
    x = 5,211.23

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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.