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Finding the Fourth Proportional to 6,760.93, 10,141.99 and 2,378.42

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Solution

The fourth proportional to 6,760.93, 10,141.99 and 2,378.42 is: 3,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.93 : 10,141.99 = 2,378.42 : x
  2. Step 2: Convert to fraction form
    6,760.93/10,141.99 = 2,378.42/x
  3. Step 3: Cross multiply
    6,760.93x = 10,141.99 × 2,378.42
  4. Step 4: Simplify right side
    6,760.93x = 24,121,911.86
  5. Step 5: Solve for x
    x = 24,121,911.86/6,760.93
  6. Step 6: Final answer
    x = 3,567.84

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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.