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Finding the Fourth Proportional to 11,692.30, 17,546.12 and 4,296.82

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Solution

The fourth proportional to 11,692.30, 17,546.12 and 4,296.82 is: 6,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.30 : 17,546.12 = 4,296.82 : x
  2. Step 2: Convert to fraction form
    11,692.30/17,546.12 = 4,296.82/x
  3. Step 3: Cross multiply
    11,692.30x = 17,546.12 × 4,296.82
  4. Step 4: Simplify right side
    11,692.30x = 75,392,519.34
  5. Step 5: Solve for x
    x = 75,392,519.34/11,692.30
  6. Step 6: Final answer
    x = 6,448.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.