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Finding the Fourth Proportional to 7,745.46, 11,623.08 and 2,815.44

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Solution

The fourth proportional to 7,745.46, 11,623.08 and 2,815.44 is: 4,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.46 : 11,623.08 = 2,815.44 : x
  2. Step 2: Convert to fraction form
    7,745.46/11,623.08 = 2,815.44/x
  3. Step 3: Cross multiply
    7,745.46x = 11,623.08 × 2,815.44
  4. Step 4: Simplify right side
    7,745.46x = 32,724,084.36
  5. Step 5: Solve for x
    x = 32,724,084.36/7,745.46
  6. Step 6: Final answer
    x = 4,224.94

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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.