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Finding the Fourth Proportional to 10,858.50, 16,284.82 and 3,837.58

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Solution

The fourth proportional to 10,858.50, 16,284.82 and 3,837.58 is: 5,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.50 : 16,284.82 = 3,837.58 : x
  2. Step 2: Convert to fraction form
    10,858.50/16,284.82 = 3,837.58/x
  3. Step 3: Cross multiply
    10,858.50x = 16,284.82 × 3,837.58
  4. Step 4: Simplify right side
    10,858.50x = 62,494,299.54
  5. Step 5: Solve for x
    x = 62,494,299.54/10,858.50
  6. Step 6: Final answer
    x = 5,755.33

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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.