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Finding the Fourth Proportional to 11,692.00, 17,537.97 and 2,926.90

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Solution

The fourth proportional to 11,692.00, 17,537.97 and 2,926.90 is: 4,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.00 : 17,537.97 = 2,926.90 : x
  2. Step 2: Convert to fraction form
    11,692.00/17,537.97 = 2,926.90/x
  3. Step 3: Cross multiply
    11,692.00x = 17,537.97 × 2,926.90
  4. Step 4: Simplify right side
    11,692.00x = 51,331,796.70
  5. Step 5: Solve for x
    x = 51,331,796.70/11,692.00
  6. Step 6: Final answer
    x = 4,390.34

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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.