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Finding the Fourth Proportional to 11,622.83, 17,434.08 and 2,857.82

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Solution

The fourth proportional to 11,622.83, 17,434.08 and 2,857.82 is: 4,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.83 : 17,434.08 = 2,857.82 : x
  2. Step 2: Convert to fraction form
    11,622.83/17,434.08 = 2,857.82/x
  3. Step 3: Cross multiply
    11,622.83x = 17,434.08 × 2,857.82
  4. Step 4: Simplify right side
    11,622.83x = 49,823,375.34
  5. Step 5: Solve for x
    x = 49,823,375.34/11,622.83
  6. Step 6: Final answer
    x = 4,286.68

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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.