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Finding the Fourth Proportional to 11,833.51, 17,747.22 and 3,511.64

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Solution

The fourth proportional to 11,833.51, 17,747.22 and 3,511.64 is: 5,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.51 : 17,747.22 = 3,511.64 : x
  2. Step 2: Convert to fraction form
    11,833.51/17,747.22 = 3,511.64/x
  3. Step 3: Cross multiply
    11,833.51x = 17,747.22 × 3,511.64
  4. Step 4: Simplify right side
    11,833.51x = 62,321,847.64
  5. Step 5: Solve for x
    x = 62,321,847.64/11,833.51
  6. Step 6: Final answer
    x = 5,266.56

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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.