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Finding the Fourth Proportional to 7,484.54, 11,194 and 5,226.46

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Solution

The fourth proportional to 7,484.54, 11,194 and 5,226.46 is: 7,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.54 : 11,194 = 5,226.46 : x
  2. Step 2: Convert to fraction form
    7,484.54/11,194 = 5,226.46/x
  3. Step 3: Cross multiply
    7,484.54x = 11,194 × 5,226.46
  4. Step 4: Simplify right side
    7,484.54x = 58,504,993.24
  5. Step 5: Solve for x
    x = 58,504,993.24/7,484.54
  6. Step 6: Final answer
    x = 7,816.78

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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.