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Finding the Fourth Proportional to 11,344.14, 17,005.83 and 4,770.79

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Solution

The fourth proportional to 11,344.14, 17,005.83 and 4,770.79 is: 7,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.14 : 17,005.83 = 4,770.79 : x
  2. Step 2: Convert to fraction form
    11,344.14/17,005.83 = 4,770.79/x
  3. Step 3: Cross multiply
    11,344.14x = 17,005.83 × 4,770.79
  4. Step 4: Simplify right side
    11,344.14x = 81,131,255.44
  5. Step 5: Solve for x
    x = 81,131,255.44/11,344.14
  6. Step 6: Final answer
    x = 7,151.82

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