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Finding the Fourth Proportional to 11,412.41, 15,747.95 and 6,694.97

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Solution

The fourth proportional to 11,412.41, 15,747.95 and 6,694.97 is: 9,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.41 : 15,747.95 = 6,694.97 : x
  2. Step 2: Convert to fraction form
    11,412.41/15,747.95 = 6,694.97/x
  3. Step 3: Cross multiply
    11,412.41x = 15,747.95 × 6,694.97
  4. Step 4: Simplify right side
    11,412.41x = 105,431,990.81
  5. Step 5: Solve for x
    x = 105,431,990.81/11,412.41
  6. Step 6: Final answer
    x = 9,238.37

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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.