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Finding the Fourth Proportional to 11,806.93, 17,713.02 and 3,911.93

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Solution

The fourth proportional to 11,806.93, 17,713.02 and 3,911.93 is: 5,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.93 : 17,713.02 = 3,911.93 : x
  2. Step 2: Convert to fraction form
    11,806.93/17,713.02 = 3,911.93/x
  3. Step 3: Cross multiply
    11,806.93x = 17,713.02 × 3,911.93
  4. Step 4: Simplify right side
    11,806.93x = 69,292,094.33
  5. Step 5: Solve for x
    x = 69,292,094.33/11,806.93
  6. Step 6: Final answer
    x = 5,868.76

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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.