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Finding the Fourth Proportional to 11,692.59, 17,538.90 and 5,847.85

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Solution

The fourth proportional to 11,692.59, 17,538.90 and 5,847.85 is: 8,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.59 : 17,538.90 = 5,847.85 : x
  2. Step 2: Convert to fraction form
    11,692.59/17,538.90 = 5,847.85/x
  3. Step 3: Cross multiply
    11,692.59x = 17,538.90 × 5,847.85
  4. Step 4: Simplify right side
    11,692.59x = 102,564,856.37
  5. Step 5: Solve for x
    x = 102,564,856.37/11,692.59
  6. Step 6: Final answer
    x = 8,771.78

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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.