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Finding the Fourth Proportional to 7,735.99, 11,603.97 and 2,805.62

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Solution

The fourth proportional to 7,735.99, 11,603.97 and 2,805.62 is: 4,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.99 : 11,603.97 = 2,805.62 : x
  2. Step 2: Convert to fraction form
    7,735.99/11,603.97 = 2,805.62/x
  3. Step 3: Cross multiply
    7,735.99x = 11,603.97 × 2,805.62
  4. Step 4: Simplify right side
    7,735.99x = 32,556,272.29
  5. Step 5: Solve for x
    x = 32,556,272.29/7,735.99
  6. Step 6: Final answer
    x = 4,208.42

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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.