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Finding the Fourth Proportional to 8,144.66, 12,208.44 and 3,463.58

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Solution

The fourth proportional to 8,144.66, 12,208.44 and 3,463.58 is: 5,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.66 : 12,208.44 = 3,463.58 : x
  2. Step 2: Convert to fraction form
    8,144.66/12,208.44 = 3,463.58/x
  3. Step 3: Cross multiply
    8,144.66x = 12,208.44 × 3,463.58
  4. Step 4: Simplify right side
    8,144.66x = 42,284,908.62
  5. Step 5: Solve for x
    x = 42,284,908.62/8,144.66
  6. Step 6: Final answer
    x = 5,191.73

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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.