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Finding the Fourth Proportional to 6,911.40, 10,361.22 and 3,012.90

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Solution

The fourth proportional to 6,911.40, 10,361.22 and 3,012.90 is: 4,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.40 : 10,361.22 = 3,012.90 : x
  2. Step 2: Convert to fraction form
    6,911.40/10,361.22 = 3,012.90/x
  3. Step 3: Cross multiply
    6,911.40x = 10,361.22 × 3,012.90
  4. Step 4: Simplify right side
    6,911.40x = 31,217,319.74
  5. Step 5: Solve for x
    x = 31,217,319.74/6,911.40
  6. Step 6: Final answer
    x = 4,516.79

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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.