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Finding the Fourth Proportional to 7,740.27, 11,612.37 and 3,583.27

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Solution

The fourth proportional to 7,740.27, 11,612.37 and 3,583.27 is: 5,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.27 : 11,612.37 = 3,583.27 : x
  2. Step 2: Convert to fraction form
    7,740.27/11,612.37 = 3,583.27/x
  3. Step 3: Cross multiply
    7,740.27x = 11,612.37 × 3,583.27
  4. Step 4: Simplify right side
    7,740.27x = 41,610,257.05
  5. Step 5: Solve for x
    x = 41,610,257.05/7,740.27
  6. Step 6: Final answer
    x = 5,375.81

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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.