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Finding the Fourth Proportional to 10,046.37, 13,863.85 and 5,797.44

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Solution

The fourth proportional to 10,046.37, 13,863.85 and 5,797.44 is: 8,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.37 : 13,863.85 = 5,797.44 : x
  2. Step 2: Convert to fraction form
    10,046.37/13,863.85 = 5,797.44/x
  3. Step 3: Cross multiply
    10,046.37x = 13,863.85 × 5,797.44
  4. Step 4: Simplify right side
    10,046.37x = 80,374,838.54
  5. Step 5: Solve for x
    x = 80,374,838.54/10,046.37
  6. Step 6: Final answer
    x = 8,000.39

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Why These Related Problems?

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