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Finding the Fourth Proportional to 8,113.83, 11,186.94 and 6,771.38

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Solution

The fourth proportional to 8,113.83, 11,186.94 and 6,771.38 is: 9,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.83 : 11,186.94 = 6,771.38 : x
  2. Step 2: Convert to fraction form
    8,113.83/11,186.94 = 6,771.38/x
  3. Step 3: Cross multiply
    8,113.83x = 11,186.94 × 6,771.38
  4. Step 4: Simplify right side
    8,113.83x = 75,750,965.84
  5. Step 5: Solve for x
    x = 75,750,965.84/8,113.83
  6. Step 6: Final answer
    x = 9,336.03

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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.