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Finding the Fourth Proportional to 8,144.82, 12,222.04 and 3,465.79

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Solution

The fourth proportional to 8,144.82, 12,222.04 and 3,465.79 is: 5,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.82 : 12,222.04 = 3,465.79 : x
  2. Step 2: Convert to fraction form
    8,144.82/12,222.04 = 3,465.79/x
  3. Step 3: Cross multiply
    8,144.82x = 12,222.04 × 3,465.79
  4. Step 4: Simplify right side
    8,144.82x = 42,358,991.29
  5. Step 5: Solve for x
    x = 42,358,991.29/8,144.82
  6. Step 6: Final answer
    x = 5,200.73

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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.