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Finding the Fourth Proportional to 6,771.90, 10,158.10 and 3,074.02

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Solution

The fourth proportional to 6,771.90, 10,158.10 and 3,074.02 is: 4,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.90 : 10,158.10 = 3,074.02 : x
  2. Step 2: Convert to fraction form
    6,771.90/10,158.10 = 3,074.02/x
  3. Step 3: Cross multiply
    6,771.90x = 10,158.10 × 3,074.02
  4. Step 4: Simplify right side
    6,771.90x = 31,226,202.56
  5. Step 5: Solve for x
    x = 31,226,202.56/6,771.90
  6. Step 6: Final answer
    x = 4,611.14

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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.