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Finding the Fourth Proportional to 6,716.87, 10,075.94 and 2,555.75

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Solution

The fourth proportional to 6,716.87, 10,075.94 and 2,555.75 is: 3,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.87 : 10,075.94 = 2,555.75 : x
  2. Step 2: Convert to fraction form
    6,716.87/10,075.94 = 2,555.75/x
  3. Step 3: Cross multiply
    6,716.87x = 10,075.94 × 2,555.75
  4. Step 4: Simplify right side
    6,716.87x = 25,751,620.03
  5. Step 5: Solve for x
    x = 25,751,620.03/6,716.87
  6. Step 6: Final answer
    x = 3,833.87

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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.