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Finding the Fourth Proportional to 11,969.36, 16,514.96 and 7,252.64

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Solution

The fourth proportional to 11,969.36, 16,514.96 and 7,252.64 is: 10,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.36 : 16,514.96 = 7,252.64 : x
  2. Step 2: Convert to fraction form
    11,969.36/16,514.96 = 7,252.64/x
  3. Step 3: Cross multiply
    11,969.36x = 16,514.96 × 7,252.64
  4. Step 4: Simplify right side
    11,969.36x = 119,777,059.49
  5. Step 5: Solve for x
    x = 119,777,059.49/11,969.36
  6. Step 6: Final answer
    x = 10,006.97

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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.