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Finding the Fourth Proportional to 7,923.94, 11,862.24 and 4,794.49

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Solution

The fourth proportional to 7,923.94, 11,862.24 and 4,794.49 is: 7,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.94 : 11,862.24 = 4,794.49 : x
  2. Step 2: Convert to fraction form
    7,923.94/11,862.24 = 4,794.49/x
  3. Step 3: Cross multiply
    7,923.94x = 11,862.24 × 4,794.49
  4. Step 4: Simplify right side
    7,923.94x = 56,873,387.91
  5. Step 5: Solve for x
    x = 56,873,387.91/7,923.94
  6. Step 6: Final answer
    x = 7,177.41

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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.