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Finding the Fourth Proportional to 11,504.75, 17,252.87 and 6,825.78

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Solution

The fourth proportional to 11,504.75, 17,252.87 and 6,825.78 is: 10,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.75 : 17,252.87 = 6,825.78 : x
  2. Step 2: Convert to fraction form
    11,504.75/17,252.87 = 6,825.78/x
  3. Step 3: Cross multiply
    11,504.75x = 17,252.87 × 6,825.78
  4. Step 4: Simplify right side
    11,504.75x = 117,764,260.86
  5. Step 5: Solve for x
    x = 117,764,260.86/11,504.75
  6. Step 6: Final answer
    x = 10,236.15

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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.