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Finding the Fourth Proportional to 6,906.06, 10,361.52 and 3,009.96

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Solution

The fourth proportional to 6,906.06, 10,361.52 and 3,009.96 is: 4,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.06 : 10,361.52 = 3,009.96 : x
  2. Step 2: Convert to fraction form
    6,906.06/10,361.52 = 3,009.96/x
  3. Step 3: Cross multiply
    6,906.06x = 10,361.52 × 3,009.96
  4. Step 4: Simplify right side
    6,906.06x = 31,187,760.74
  5. Step 5: Solve for x
    x = 31,187,760.74/6,906.06
  6. Step 6: Final answer
    x = 4,516.00

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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.