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Finding the Fourth Proportional to 8,084, 11,157.92 and 4,942.84

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Solution

The fourth proportional to 8,084, 11,157.92 and 4,942.84 is: 6,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084 : 11,157.92 = 4,942.84 : x
  2. Step 2: Convert to fraction form
    8,084/11,157.92 = 4,942.84/x
  3. Step 3: Cross multiply
    8,084x = 11,157.92 × 4,942.84
  4. Step 4: Simplify right side
    8,084x = 55,151,813.29
  5. Step 5: Solve for x
    x = 55,151,813.29/8,084
  6. Step 6: Final answer
    x = 6,822.34

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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.