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Finding the Fourth Proportional to 7,891.19, 11,825.50 and 5,794.75

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Solution

The fourth proportional to 7,891.19, 11,825.50 and 5,794.75 is: 8,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.19 : 11,825.50 = 5,794.75 : x
  2. Step 2: Convert to fraction form
    7,891.19/11,825.50 = 5,794.75/x
  3. Step 3: Cross multiply
    7,891.19x = 11,825.50 × 5,794.75
  4. Step 4: Simplify right side
    7,891.19x = 68,525,757.00
  5. Step 5: Solve for x
    x = 68,525,757.00/7,891.19
  6. Step 6: Final answer
    x = 8,683.84

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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.