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Finding the Fourth Proportional to 7,686.45, 11,529 and 2,139.44

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Solution

The fourth proportional to 7,686.45, 11,529 and 2,139.44 is: 3,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.45 : 11,529 = 2,139.44 : x
  2. Step 2: Convert to fraction form
    7,686.45/11,529 = 2,139.44/x
  3. Step 3: Cross multiply
    7,686.45x = 11,529 × 2,139.44
  4. Step 4: Simplify right side
    7,686.45x = 24,665,546.12
  5. Step 5: Solve for x
    x = 24,665,546.12/7,686.45
  6. Step 6: Final answer
    x = 3,208.96

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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.