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Finding the Fourth Proportional to 7,847.01, 11,770.60 and 2,300.46

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Solution

The fourth proportional to 7,847.01, 11,770.60 and 2,300.46 is: 3,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.01 : 11,770.60 = 2,300.46 : x
  2. Step 2: Convert to fraction form
    7,847.01/11,770.60 = 2,300.46/x
  3. Step 3: Cross multiply
    7,847.01x = 11,770.60 × 2,300.46
  4. Step 4: Simplify right side
    7,847.01x = 27,077,794.48
  5. Step 5: Solve for x
    x = 27,077,794.48/7,847.01
  6. Step 6: Final answer
    x = 3,450.71

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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.