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Finding the Fourth Proportional to 7,843.56, 11,766 and 2,000.16

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Solution

The fourth proportional to 7,843.56, 11,766 and 2,000.16 is: 3,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.56 : 11,766 = 2,000.16 : x
  2. Step 2: Convert to fraction form
    7,843.56/11,766 = 2,000.16/x
  3. Step 3: Cross multiply
    7,843.56x = 11,766 × 2,000.16
  4. Step 4: Simplify right side
    7,843.56x = 23,533,882.56
  5. Step 5: Solve for x
    x = 23,533,882.56/7,843.56
  6. Step 6: Final answer
    x = 3,000.41

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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.