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Finding the Fourth Proportional to 6,874.02, 10,310.22 and 3,075.12

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Solution

The fourth proportional to 6,874.02, 10,310.22 and 3,075.12 is: 4,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.02 : 10,310.22 = 3,075.12 : x
  2. Step 2: Convert to fraction form
    6,874.02/10,310.22 = 3,075.12/x
  3. Step 3: Cross multiply
    6,874.02x = 10,310.22 × 3,075.12
  4. Step 4: Simplify right side
    6,874.02x = 31,705,163.73
  5. Step 5: Solve for x
    x = 31,705,163.73/6,874.02
  6. Step 6: Final answer
    x = 4,612.32

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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.