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Finding the Fourth Proportional to 7,671.36, 11,504.78 and 3,287.80

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Solution

The fourth proportional to 7,671.36, 11,504.78 and 3,287.80 is: 4,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.36 : 11,504.78 = 3,287.80 : x
  2. Step 2: Convert to fraction form
    7,671.36/11,504.78 = 3,287.80/x
  3. Step 3: Cross multiply
    7,671.36x = 11,504.78 × 3,287.80
  4. Step 4: Simplify right side
    7,671.36x = 37,825,415.68
  5. Step 5: Solve for x
    x = 37,825,415.68/7,671.36
  6. Step 6: Final answer
    x = 4,930.73

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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.