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Finding the Fourth Proportional to 7,763.24, 11,644.76 and 2,216.57

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Solution

The fourth proportional to 7,763.24, 11,644.76 and 2,216.57 is: 3,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.24 : 11,644.76 = 2,216.57 : x
  2. Step 2: Convert to fraction form
    7,763.24/11,644.76 = 2,216.57/x
  3. Step 3: Cross multiply
    7,763.24x = 11,644.76 × 2,216.57
  4. Step 4: Simplify right side
    7,763.24x = 25,811,372.99
  5. Step 5: Solve for x
    x = 25,811,372.99/7,763.24
  6. Step 6: Final answer
    x = 3,324.82

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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.