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Finding the Fourth Proportional to 11,775.75, 16,239.38 and 7,735.47

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Solution

The fourth proportional to 11,775.75, 16,239.38 and 7,735.47 is: 10,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.75 : 16,239.38 = 7,735.47 : x
  2. Step 2: Convert to fraction form
    11,775.75/16,239.38 = 7,735.47/x
  3. Step 3: Cross multiply
    11,775.75x = 16,239.38 × 7,735.47
  4. Step 4: Simplify right side
    11,775.75x = 125,619,198.13
  5. Step 5: Solve for x
    x = 125,619,198.13/11,775.75
  6. Step 6: Final answer
    x = 10,667.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.