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Finding the Fourth Proportional to 7,692.86, 11,539.29 and 3,993.18

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Solution

The fourth proportional to 7,692.86, 11,539.29 and 3,993.18 is: 5,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.86 : 11,539.29 = 3,993.18 : x
  2. Step 2: Convert to fraction form
    7,692.86/11,539.29 = 3,993.18/x
  3. Step 3: Cross multiply
    7,692.86x = 11,539.29 × 3,993.18
  4. Step 4: Simplify right side
    7,692.86x = 46,078,462.04
  5. Step 5: Solve for x
    x = 46,078,462.04/7,692.86
  6. Step 6: Final answer
    x = 5,989.77

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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.