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Finding the Fourth Proportional to 11,843.78, 17,764.05 and 3,525.08

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Solution

The fourth proportional to 11,843.78, 17,764.05 and 3,525.08 is: 5,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.78 : 17,764.05 = 3,525.08 : x
  2. Step 2: Convert to fraction form
    11,843.78/17,764.05 = 3,525.08/x
  3. Step 3: Cross multiply
    11,843.78x = 17,764.05 × 3,525.08
  4. Step 4: Simplify right side
    11,843.78x = 62,619,697.37
  5. Step 5: Solve for x
    x = 62,619,697.37/11,843.78
  6. Step 6: Final answer
    x = 5,287.14

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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.