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Finding the Fourth Proportional to 6,716.78, 10,075.17 and 2,555.83

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Solution

The fourth proportional to 6,716.78, 10,075.17 and 2,555.83 is: 3,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.78 : 10,075.17 = 2,555.83 : x
  2. Step 2: Convert to fraction form
    6,716.78/10,075.17 = 2,555.83/x
  3. Step 3: Cross multiply
    6,716.78x = 10,075.17 × 2,555.83
  4. Step 4: Simplify right side
    6,716.78x = 25,750,421.74
  5. Step 5: Solve for x
    x = 25,750,421.74/6,716.78
  6. Step 6: Final answer
    x = 3,833.75

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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.