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Finding the Fourth Proportional to 11,466.36, 17,202.78 and 3,675.78

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Solution

The fourth proportional to 11,466.36, 17,202.78 and 3,675.78 is: 5,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.36 : 17,202.78 = 3,675.78 : x
  2. Step 2: Convert to fraction form
    11,466.36/17,202.78 = 3,675.78/x
  3. Step 3: Cross multiply
    11,466.36x = 17,202.78 × 3,675.78
  4. Step 4: Simplify right side
    11,466.36x = 63,233,634.67
  5. Step 5: Solve for x
    x = 63,233,634.67/11,466.36
  6. Step 6: Final answer
    x = 5,514.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.