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Finding the Fourth Proportional to 11,729.66, 16,187.31 and 7,251.98

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Solution

The fourth proportional to 11,729.66, 16,187.31 and 7,251.98 is: 10,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.66 : 16,187.31 = 7,251.98 : x
  2. Step 2: Convert to fraction form
    11,729.66/16,187.31 = 7,251.98/x
  3. Step 3: Cross multiply
    11,729.66x = 16,187.31 × 7,251.98
  4. Step 4: Simplify right side
    11,729.66x = 117,390,048.37
  5. Step 5: Solve for x
    x = 117,390,048.37/11,729.66
  6. Step 6: Final answer
    x = 10,007.97

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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.