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Finding the Fourth Proportional to 10,994.12, 15,171.87 and 5,958.25

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Solution

The fourth proportional to 10,994.12, 15,171.87 and 5,958.25 is: 8,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.12 : 15,171.87 = 5,958.25 : x
  2. Step 2: Convert to fraction form
    10,994.12/15,171.87 = 5,958.25/x
  3. Step 3: Cross multiply
    10,994.12x = 15,171.87 × 5,958.25
  4. Step 4: Simplify right side
    10,994.12x = 90,397,794.43
  5. Step 5: Solve for x
    x = 90,397,794.43/10,994.12
  6. Step 6: Final answer
    x = 8,222.38

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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.