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Finding the Fourth Proportional to 11,847.34, 17,765.77 and 4,350.94

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Solution

The fourth proportional to 11,847.34, 17,765.77 and 4,350.94 is: 6,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.34 : 17,765.77 = 4,350.94 : x
  2. Step 2: Convert to fraction form
    11,847.34/17,765.77 = 4,350.94/x
  3. Step 3: Cross multiply
    11,847.34x = 17,765.77 × 4,350.94
  4. Step 4: Simplify right side
    11,847.34x = 77,297,799.32
  5. Step 5: Solve for x
    x = 77,297,799.32/11,847.34
  6. Step 6: Final answer
    x = 6,524.49

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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.