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Finding the Fourth Proportional to 7,716.48, 11,573.24 and 3,763.78

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Solution

The fourth proportional to 7,716.48, 11,573.24 and 3,763.78 is: 5,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.48 : 11,573.24 = 3,763.78 : x
  2. Step 2: Convert to fraction form
    7,716.48/11,573.24 = 3,763.78/x
  3. Step 3: Cross multiply
    7,716.48x = 11,573.24 × 3,763.78
  4. Step 4: Simplify right side
    7,716.48x = 43,559,129.25
  5. Step 5: Solve for x
    x = 43,559,129.25/7,716.48
  6. Step 6: Final answer
    x = 5,644.95

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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.