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Finding the Fourth Proportional to 7,692.36, 11,534.68 and 3,993.56

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Solution

The fourth proportional to 7,692.36, 11,534.68 and 3,993.56 is: 5,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.36 : 11,534.68 = 3,993.56 : x
  2. Step 2: Convert to fraction form
    7,692.36/11,534.68 = 3,993.56/x
  3. Step 3: Cross multiply
    7,692.36x = 11,534.68 × 3,993.56
  4. Step 4: Simplify right side
    7,692.36x = 46,064,436.66
  5. Step 5: Solve for x
    x = 46,064,436.66/7,692.36
  6. Step 6: Final answer
    x = 5,988.34

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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.