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Finding the Fourth Proportional to 7,729.02, 11,593.80 and 2,797.74

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Solution

The fourth proportional to 7,729.02, 11,593.80 and 2,797.74 is: 4,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.02 : 11,593.80 = 2,797.74 : x
  2. Step 2: Convert to fraction form
    7,729.02/11,593.80 = 2,797.74/x
  3. Step 3: Cross multiply
    7,729.02x = 11,593.80 × 2,797.74
  4. Step 4: Simplify right side
    7,729.02x = 32,436,438.01
  5. Step 5: Solve for x
    x = 32,436,438.01/7,729.02
  6. Step 6: Final answer
    x = 4,196.71

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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.