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Finding the Fourth Proportional to 7,722.33, 11,583.50 and 3,104.25

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Solution

The fourth proportional to 7,722.33, 11,583.50 and 3,104.25 is: 4,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.33 : 11,583.50 = 3,104.25 : x
  2. Step 2: Convert to fraction form
    7,722.33/11,583.50 = 3,104.25/x
  3. Step 3: Cross multiply
    7,722.33x = 11,583.50 × 3,104.25
  4. Step 4: Simplify right side
    7,722.33x = 35,958,064.35
  5. Step 5: Solve for x
    x = 35,958,064.35/7,722.33
  6. Step 6: Final answer
    x = 4,656.38

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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.