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Finding the Fourth Proportional to 11,205.57, 16,808.38 and 4,090.33

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Solution

The fourth proportional to 11,205.57, 16,808.38 and 4,090.33 is: 6,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.57 : 16,808.38 = 4,090.33 : x
  2. Step 2: Convert to fraction form
    11,205.57/16,808.38 = 4,090.33/x
  3. Step 3: Cross multiply
    11,205.57x = 16,808.38 × 4,090.33
  4. Step 4: Simplify right side
    11,205.57x = 68,751,831.75
  5. Step 5: Solve for x
    x = 68,751,831.75/11,205.57
  6. Step 6: Final answer
    x = 6,135.50

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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.