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Finding the Fourth Proportional to 10,043.57, 13,859.89 and 5,794.64

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Solution

The fourth proportional to 10,043.57, 13,859.89 and 5,794.64 is: 7,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.57 : 13,859.89 = 5,794.64 : x
  2. Step 2: Convert to fraction form
    10,043.57/13,859.89 = 5,794.64/x
  3. Step 3: Cross multiply
    10,043.57x = 13,859.89 × 5,794.64
  4. Step 4: Simplify right side
    10,043.57x = 80,313,072.99
  5. Step 5: Solve for x
    x = 80,313,072.99/10,043.57
  6. Step 6: Final answer
    x = 7,996.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.