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Finding the Fourth Proportional to 7,692.36, 11,538.53 and 3,992.68

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Solution

The fourth proportional to 7,692.36, 11,538.53 and 3,992.68 is: 5,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.36 : 11,538.53 = 3,992.68 : x
  2. Step 2: Convert to fraction form
    7,692.36/11,538.53 = 3,992.68/x
  3. Step 3: Cross multiply
    7,692.36x = 11,538.53 × 3,992.68
  4. Step 4: Simplify right side
    7,692.36x = 46,069,657.96
  5. Step 5: Solve for x
    x = 46,069,657.96/7,692.36
  6. Step 6: Final answer
    x = 5,989.01

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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.