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Finding the Fourth Proportional to 7,723.17, 11,584.89 and 2,529

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Solution

The fourth proportional to 7,723.17, 11,584.89 and 2,529 is: 3,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.17 : 11,584.89 = 2,529 : x
  2. Step 2: Convert to fraction form
    7,723.17/11,584.89 = 2,529/x
  3. Step 3: Cross multiply
    7,723.17x = 11,584.89 × 2,529
  4. Step 4: Simplify right side
    7,723.17x = 29,298,186.81
  5. Step 5: Solve for x
    x = 29,298,186.81/7,723.17
  6. Step 6: Final answer
    x = 3,793.54

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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.