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Finding the Fourth Proportional to 11,723.19, 16,178.54 and 7,243.49

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Solution

The fourth proportional to 11,723.19, 16,178.54 and 7,243.49 is: 9,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.19 : 16,178.54 = 7,243.49 : x
  2. Step 2: Convert to fraction form
    11,723.19/16,178.54 = 7,243.49/x
  3. Step 3: Cross multiply
    11,723.19x = 16,178.54 × 7,243.49
  4. Step 4: Simplify right side
    11,723.19x = 117,188,975.59
  5. Step 5: Solve for x
    x = 117,188,975.59/11,723.19
  6. Step 6: Final answer
    x = 9,996.34

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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.