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Finding the Fourth Proportional to 7,692.56, 11,539.75 and 2,761.78

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Solution

The fourth proportional to 7,692.56, 11,539.75 and 2,761.78 is: 4,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.56 : 11,539.75 = 2,761.78 : x
  2. Step 2: Convert to fraction form
    7,692.56/11,539.75 = 2,761.78/x
  3. Step 3: Cross multiply
    7,692.56x = 11,539.75 × 2,761.78
  4. Step 4: Simplify right side
    7,692.56x = 31,870,250.76
  5. Step 5: Solve for x
    x = 31,870,250.76/7,692.56
  6. Step 6: Final answer
    x = 4,143.00

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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.