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Finding the Fourth Proportional to 7,616.07, 11,416.41 and 3,230.73

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Solution

The fourth proportional to 7,616.07, 11,416.41 and 3,230.73 is: 4,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.07 : 11,416.41 = 3,230.73 : x
  2. Step 2: Convert to fraction form
    7,616.07/11,416.41 = 3,230.73/x
  3. Step 3: Cross multiply
    7,616.07x = 11,416.41 × 3,230.73
  4. Step 4: Simplify right side
    7,616.07x = 36,883,338.28
  5. Step 5: Solve for x
    x = 36,883,338.28/7,616.07
  6. Step 6: Final answer
    x = 4,842.83

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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.