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Finding the Fourth Proportional to 12,400.41, 17,112.56 and 6,811.41

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Solution

The fourth proportional to 12,400.41, 17,112.56 and 6,811.41 is: 9,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.41 : 17,112.56 = 6,811.41 : x
  2. Step 2: Convert to fraction form
    12,400.41/17,112.56 = 6,811.41/x
  3. Step 3: Cross multiply
    12,400.41x = 17,112.56 × 6,811.41
  4. Step 4: Simplify right side
    12,400.41x = 116,560,628.25
  5. Step 5: Solve for x
    x = 116,560,628.25/12,400.41
  6. Step 6: Final answer
    x = 9,399.74

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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.