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Finding the Fourth Proportional to 10,993.78, 15,170.61 and 6,212.23

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Solution

The fourth proportional to 10,993.78, 15,170.61 and 6,212.23 is: 8,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.78 : 15,170.61 = 6,212.23 : x
  2. Step 2: Convert to fraction form
    10,993.78/15,170.61 = 6,212.23/x
  3. Step 3: Cross multiply
    10,993.78x = 15,170.61 × 6,212.23
  4. Step 4: Simplify right side
    10,993.78x = 94,243,318.56
  5. Step 5: Solve for x
    x = 94,243,318.56/10,993.78
  6. Step 6: Final answer
    x = 8,572.42

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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.