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Finding the Fourth Proportional to 6,782.69, 10,178.49 and 2,399.99

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Solution

The fourth proportional to 6,782.69, 10,178.49 and 2,399.99 is: 3,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.69 : 10,178.49 = 2,399.99 : x
  2. Step 2: Convert to fraction form
    6,782.69/10,178.49 = 2,399.99/x
  3. Step 3: Cross multiply
    6,782.69x = 10,178.49 × 2,399.99
  4. Step 4: Simplify right side
    6,782.69x = 24,428,223.32
  5. Step 5: Solve for x
    x = 24,428,223.32/6,782.69
  6. Step 6: Final answer
    x = 3,601.56

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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.