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Finding the Fourth Proportional to 7,728.75, 11,591.77 and 3,568.40

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Solution

The fourth proportional to 7,728.75, 11,591.77 and 3,568.40 is: 5,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.75 : 11,591.77 = 3,568.40 : x
  2. Step 2: Convert to fraction form
    7,728.75/11,591.77 = 3,568.40/x
  3. Step 3: Cross multiply
    7,728.75x = 11,591.77 × 3,568.40
  4. Step 4: Simplify right side
    7,728.75x = 41,364,043.09
  5. Step 5: Solve for x
    x = 41,364,043.09/7,728.75
  6. Step 6: Final answer
    x = 5,351.97

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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.