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Finding the Fourth Proportional to 8,118.80, 11,174.84 and 6,777.36

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Solution

The fourth proportional to 8,118.80, 11,174.84 and 6,777.36 is: 9,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.80 : 11,174.84 = 6,777.36 : x
  2. Step 2: Convert to fraction form
    8,118.80/11,174.84 = 6,777.36/x
  3. Step 3: Cross multiply
    8,118.80x = 11,174.84 × 6,777.36
  4. Step 4: Simplify right side
    8,118.80x = 75,735,913.62
  5. Step 5: Solve for x
    x = 75,735,913.62/8,118.80
  6. Step 6: Final answer
    x = 9,328.46

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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.