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Finding the Fourth Proportional to 11,955.16, 16,511.94 and 7,969.32

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Solution

The fourth proportional to 11,955.16, 16,511.94 and 7,969.32 is: 11,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.16 : 16,511.94 = 7,969.32 : x
  2. Step 2: Convert to fraction form
    11,955.16/16,511.94 = 7,969.32/x
  3. Step 3: Cross multiply
    11,955.16x = 16,511.94 × 7,969.32
  4. Step 4: Simplify right side
    11,955.16x = 131,588,933.68
  5. Step 5: Solve for x
    x = 131,588,933.68/11,955.16
  6. Step 6: Final answer
    x = 11,006.87

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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.