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Finding the Fourth Proportional to 7,118.73, 9,823.84 and 3,974.92

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Solution

The fourth proportional to 7,118.73, 9,823.84 and 3,974.92 is: 5,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.73 : 9,823.84 = 3,974.92 : x
  2. Step 2: Convert to fraction form
    7,118.73/9,823.84 = 3,974.92/x
  3. Step 3: Cross multiply
    7,118.73x = 9,823.84 × 3,974.92
  4. Step 4: Simplify right side
    7,118.73x = 39,048,943.60
  5. Step 5: Solve for x
    x = 39,048,943.60/7,118.73
  6. Step 6: Final answer
    x = 5,485.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.