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Finding the Fourth Proportional to 11,692.90, 17,549.30 and 4,677.82

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Solution

The fourth proportional to 11,692.90, 17,549.30 and 4,677.82 is: 7,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.90 : 17,549.30 = 4,677.82 : x
  2. Step 2: Convert to fraction form
    11,692.90/17,549.30 = 4,677.82/x
  3. Step 3: Cross multiply
    11,692.90x = 17,549.30 × 4,677.82
  4. Step 4: Simplify right side
    11,692.90x = 82,092,466.53
  5. Step 5: Solve for x
    x = 82,092,466.53/11,692.90
  6. Step 6: Final answer
    x = 7,020.71

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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.