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Finding the Fourth Proportional to 7,692.81, 11,539.46 and 2,427.87

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Solution

The fourth proportional to 7,692.81, 11,539.46 and 2,427.87 is: 3,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.81 : 11,539.46 = 2,427.87 : x
  2. Step 2: Convert to fraction form
    7,692.81/11,539.46 = 2,427.87/x
  3. Step 3: Cross multiply
    7,692.81x = 11,539.46 × 2,427.87
  4. Step 4: Simplify right side
    7,692.81x = 28,016,314.82
  5. Step 5: Solve for x
    x = 28,016,314.82/7,692.81
  6. Step 6: Final answer
    x = 3,641.88

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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.