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Finding the Fourth Proportional to 6,118.36, 8,427.90 and 4,936.12

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Solution

The fourth proportional to 6,118.36, 8,427.90 and 4,936.12 is: 6,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.36 : 8,427.90 = 4,936.12 : x
  2. Step 2: Convert to fraction form
    6,118.36/8,427.90 = 4,936.12/x
  3. Step 3: Cross multiply
    6,118.36x = 8,427.90 × 4,936.12
  4. Step 4: Simplify right side
    6,118.36x = 41,601,125.75
  5. Step 5: Solve for x
    x = 41,601,125.75/6,118.36
  6. Step 6: Final answer
    x = 6,799.39

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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.