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Finding the Fourth Proportional to 11,930.80, 17,896 and 3,610.99

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Solution

The fourth proportional to 11,930.80, 17,896 and 3,610.99 is: 5,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.80 : 17,896 = 3,610.99 : x
  2. Step 2: Convert to fraction form
    11,930.80/17,896 = 3,610.99/x
  3. Step 3: Cross multiply
    11,930.80x = 17,896 × 3,610.99
  4. Step 4: Simplify right side
    11,930.80x = 64,622,277.04
  5. Step 5: Solve for x
    x = 64,622,277.04/11,930.80
  6. Step 6: Final answer
    x = 5,416.42

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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.