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Finding the Fourth Proportional to 8,369.00, 11,544.86 and 4,964.03

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Solution

The fourth proportional to 8,369.00, 11,544.86 and 4,964.03 is: 6,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.00 : 11,544.86 = 4,964.03 : x
  2. Step 2: Convert to fraction form
    8,369.00/11,544.86 = 4,964.03/x
  3. Step 3: Cross multiply
    8,369.00x = 11,544.86 × 4,964.03
  4. Step 4: Simplify right side
    8,369.00x = 57,309,029.36
  5. Step 5: Solve for x
    x = 57,309,029.36/8,369.00
  6. Step 6: Final answer
    x = 6,847.78

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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.