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Finding the Fourth Proportional to 7,843.08, 11,770.68 and 4,091.16

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Solution

The fourth proportional to 7,843.08, 11,770.68 and 4,091.16 is: 6,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.08 : 11,770.68 = 4,091.16 : x
  2. Step 2: Convert to fraction form
    7,843.08/11,770.68 = 4,091.16/x
  3. Step 3: Cross multiply
    7,843.08x = 11,770.68 × 4,091.16
  4. Step 4: Simplify right side
    7,843.08x = 48,155,735.19
  5. Step 5: Solve for x
    x = 48,155,735.19/7,843.08
  6. Step 6: Final answer
    x = 6,139.90

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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.