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Finding the Fourth Proportional to 11,201.75, 16,802.63 and 3,905.75

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Solution

The fourth proportional to 11,201.75, 16,802.63 and 3,905.75 is: 5,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.75 : 16,802.63 = 3,905.75 : x
  2. Step 2: Convert to fraction form
    11,201.75/16,802.63 = 3,905.75/x
  3. Step 3: Cross multiply
    11,201.75x = 16,802.63 × 3,905.75
  4. Step 4: Simplify right side
    11,201.75x = 65,626,852.59
  5. Step 5: Solve for x
    x = 65,626,852.59/11,201.75
  6. Step 6: Final answer
    x = 5,858.63

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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.