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Finding the Fourth Proportional to 11,857.64, 17,789.03 and 6,310.17

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Solution

The fourth proportional to 11,857.64, 17,789.03 and 6,310.17 is: 9,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.64 : 17,789.03 = 6,310.17 : x
  2. Step 2: Convert to fraction form
    11,857.64/17,789.03 = 6,310.17/x
  3. Step 3: Cross multiply
    11,857.64x = 17,789.03 × 6,310.17
  4. Step 4: Simplify right side
    11,857.64x = 112,251,771.88
  5. Step 5: Solve for x
    x = 112,251,771.88/11,857.64
  6. Step 6: Final answer
    x = 9,466.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.