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Finding the Fourth Proportional to 11,764.75, 17,647.13 and 3,556.75

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Solution

The fourth proportional to 11,764.75, 17,647.13 and 3,556.75 is: 5,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.75 : 17,647.13 = 3,556.75 : x
  2. Step 2: Convert to fraction form
    11,764.75/17,647.13 = 3,556.75/x
  3. Step 3: Cross multiply
    11,764.75x = 17,647.13 × 3,556.75
  4. Step 4: Simplify right side
    11,764.75x = 62,766,411.84
  5. Step 5: Solve for x
    x = 62,766,411.84/11,764.75
  6. Step 6: Final answer
    x = 5,335.13

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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.