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Finding the Fourth Proportional to 11,692.16, 17,538.26 and 3,900.99

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Solution

The fourth proportional to 11,692.16, 17,538.26 and 3,900.99 is: 5,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.16 : 17,538.26 = 3,900.99 : x
  2. Step 2: Convert to fraction form
    11,692.16/17,538.26 = 3,900.99/x
  3. Step 3: Cross multiply
    11,692.16x = 17,538.26 × 3,900.99
  4. Step 4: Simplify right side
    11,692.16x = 68,416,557.37
  5. Step 5: Solve for x
    x = 68,416,557.37/11,692.16
  6. Step 6: Final answer
    x = 5,851.49

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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.