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Finding the Fourth Proportional to 10,436.82, 15,651.12 and 3,858.50

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Solution

The fourth proportional to 10,436.82, 15,651.12 and 3,858.50 is: 5,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.82 : 15,651.12 = 3,858.50 : x
  2. Step 2: Convert to fraction form
    10,436.82/15,651.12 = 3,858.50/x
  3. Step 3: Cross multiply
    10,436.82x = 15,651.12 × 3,858.50
  4. Step 4: Simplify right side
    10,436.82x = 60,389,768.26
  5. Step 5: Solve for x
    x = 60,389,768.26/10,436.82
  6. Step 6: Final answer
    x = 5,786.22

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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.