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Finding the Fourth Proportional to 7,596.82, 11,396.44 and 3,214.32

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Solution

The fourth proportional to 7,596.82, 11,396.44 and 3,214.32 is: 4,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.82 : 11,396.44 = 3,214.32 : x
  2. Step 2: Convert to fraction form
    7,596.82/11,396.44 = 3,214.32/x
  3. Step 3: Cross multiply
    7,596.82x = 11,396.44 × 3,214.32
  4. Step 4: Simplify right side
    7,596.82x = 36,631,805.02
  5. Step 5: Solve for x
    x = 36,631,805.02/7,596.82
  6. Step 6: Final answer
    x = 4,821.99

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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.