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Finding the Fourth Proportional to 7,728.80, 11,599.60 and 3,575.20

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Solution

The fourth proportional to 7,728.80, 11,599.60 and 3,575.20 is: 5,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.80 : 11,599.60 = 3,575.20 : x
  2. Step 2: Convert to fraction form
    7,728.80/11,599.60 = 3,575.20/x
  3. Step 3: Cross multiply
    7,728.80x = 11,599.60 × 3,575.20
  4. Step 4: Simplify right side
    7,728.80x = 41,470,889.92
  5. Step 5: Solve for x
    x = 41,470,889.92/7,728.80
  6. Step 6: Final answer
    x = 5,365.76

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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.