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Finding the Fourth Proportional to 7,177.68, 10,771.38 and 3,891.84

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Solution

The fourth proportional to 7,177.68, 10,771.38 and 3,891.84 is: 5,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.68 : 10,771.38 = 3,891.84 : x
  2. Step 2: Convert to fraction form
    7,177.68/10,771.38 = 3,891.84/x
  3. Step 3: Cross multiply
    7,177.68x = 10,771.38 × 3,891.84
  4. Step 4: Simplify right side
    7,177.68x = 41,920,487.54
  5. Step 5: Solve for x
    x = 41,920,487.54/7,177.68
  6. Step 6: Final answer
    x = 5,840.40

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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.