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Finding the Fourth Proportional to 8,121.36, 12,182.22 and 2,277.84

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Solution

The fourth proportional to 8,121.36, 12,182.22 and 2,277.84 is: 3,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.36 : 12,182.22 = 2,277.84 : x
  2. Step 2: Convert to fraction form
    8,121.36/12,182.22 = 2,277.84/x
  3. Step 3: Cross multiply
    8,121.36x = 12,182.22 × 2,277.84
  4. Step 4: Simplify right side
    8,121.36x = 27,749,148.00
  5. Step 5: Solve for x
    x = 27,749,148.00/8,121.36
  6. Step 6: Final answer
    x = 3,416.81

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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.