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Finding the Fourth Proportional to 10,846.36, 16,274.19 and 3,451.42

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Solution

The fourth proportional to 10,846.36, 16,274.19 and 3,451.42 is: 5,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.36 : 16,274.19 = 3,451.42 : x
  2. Step 2: Convert to fraction form
    10,846.36/16,274.19 = 3,451.42/x
  3. Step 3: Cross multiply
    10,846.36x = 16,274.19 × 3,451.42
  4. Step 4: Simplify right side
    10,846.36x = 56,169,064.85
  5. Step 5: Solve for x
    x = 56,169,064.85/10,846.36
  6. Step 6: Final answer
    x = 5,178.61

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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.