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Finding the Fourth Proportional to 8,771.88, 13,150.36 and 3,837.84

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Solution

The fourth proportional to 8,771.88, 13,150.36 and 3,837.84 is: 5,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.88 : 13,150.36 = 3,837.84 : x
  2. Step 2: Convert to fraction form
    8,771.88/13,150.36 = 3,837.84/x
  3. Step 3: Cross multiply
    8,771.88x = 13,150.36 × 3,837.84
  4. Step 4: Simplify right side
    8,771.88x = 50,468,977.62
  5. Step 5: Solve for x
    x = 50,468,977.62/8,771.88
  6. Step 6: Final answer
    x = 5,753.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.