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Finding the Fourth Proportional to 11,806.36, 17,709.56 and 4,015

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Solution

The fourth proportional to 11,806.36, 17,709.56 and 4,015 is: 6,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.36 : 17,709.56 = 4,015 : x
  2. Step 2: Convert to fraction form
    11,806.36/17,709.56 = 4,015/x
  3. Step 3: Cross multiply
    11,806.36x = 17,709.56 × 4,015
  4. Step 4: Simplify right side
    11,806.36x = 71,103,883.40
  5. Step 5: Solve for x
    x = 71,103,883.40/11,806.36
  6. Step 6: Final answer
    x = 6,022.51

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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.