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Finding the Fourth Proportional to 6,716.85, 10,075.11 and 3,209.34

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Solution

The fourth proportional to 6,716.85, 10,075.11 and 3,209.34 is: 4,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.85 : 10,075.11 = 3,209.34 : x
  2. Step 2: Convert to fraction form
    6,716.85/10,075.11 = 3,209.34/x
  3. Step 3: Cross multiply
    6,716.85x = 10,075.11 × 3,209.34
  4. Step 4: Simplify right side
    6,716.85x = 32,334,453.53
  5. Step 5: Solve for x
    x = 32,334,453.53/6,716.85
  6. Step 6: Final answer
    x = 4,813.93

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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.