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Finding the Fourth Proportional to 7,728.80, 11,593.20 and 2,798.60

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Solution

The fourth proportional to 7,728.80, 11,593.20 and 2,798.60 is: 4,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.80 : 11,593.20 = 2,798.60 : x
  2. Step 2: Convert to fraction form
    7,728.80/11,593.20 = 2,798.60/x
  3. Step 3: Cross multiply
    7,728.80x = 11,593.20 × 2,798.60
  4. Step 4: Simplify right side
    7,728.80x = 32,444,729.52
  5. Step 5: Solve for x
    x = 32,444,729.52/7,728.80
  6. Step 6: Final answer
    x = 4,197.90

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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.