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Finding the Fourth Proportional to 6,771.71, 10,154.67 and 2,329.83

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Solution

The fourth proportional to 6,771.71, 10,154.67 and 2,329.83 is: 3,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.71 : 10,154.67 = 2,329.83 : x
  2. Step 2: Convert to fraction form
    6,771.71/10,154.67 = 2,329.83/x
  3. Step 3: Cross multiply
    6,771.71x = 10,154.67 × 2,329.83
  4. Step 4: Simplify right side
    6,771.71x = 23,658,654.81
  5. Step 5: Solve for x
    x = 23,658,654.81/6,771.71
  6. Step 6: Final answer
    x = 3,493.75

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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.