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Finding the Fourth Proportional to 8,161.75, 12,242.73 and 2,318.36

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Solution

The fourth proportional to 8,161.75, 12,242.73 and 2,318.36 is: 3,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.75 : 12,242.73 = 2,318.36 : x
  2. Step 2: Convert to fraction form
    8,161.75/12,242.73 = 2,318.36/x
  3. Step 3: Cross multiply
    8,161.75x = 12,242.73 × 2,318.36
  4. Step 4: Simplify right side
    8,161.75x = 28,383,055.52
  5. Step 5: Solve for x
    x = 28,383,055.52/8,161.75
  6. Step 6: Final answer
    x = 3,477.57

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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.