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Finding the Fourth Proportional to 10,993.81, 15,171.34 and 5,958.04

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Solution

The fourth proportional to 10,993.81, 15,171.34 and 5,958.04 is: 8,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.81 : 15,171.34 = 5,958.04 : x
  2. Step 2: Convert to fraction form
    10,993.81/15,171.34 = 5,958.04/x
  3. Step 3: Cross multiply
    10,993.81x = 15,171.34 × 5,958.04
  4. Step 4: Simplify right side
    10,993.81x = 90,391,450.57
  5. Step 5: Solve for x
    x = 90,391,450.57/10,993.81
  6. Step 6: Final answer
    x = 8,222.03

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