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Finding the Fourth Proportional to 7,704.91, 10,632.73 and 4,168.05

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Solution

The fourth proportional to 7,704.91, 10,632.73 and 4,168.05 is: 5,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.91 : 10,632.73 = 4,168.05 : x
  2. Step 2: Convert to fraction form
    7,704.91/10,632.73 = 4,168.05/x
  3. Step 3: Cross multiply
    7,704.91x = 10,632.73 × 4,168.05
  4. Step 4: Simplify right side
    7,704.91x = 44,317,750.28
  5. Step 5: Solve for x
    x = 44,317,750.28/7,704.91
  6. Step 6: Final answer
    x = 5,751.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.