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Finding the Fourth Proportional to 11,963.10, 16,511.37 and 7,922.82

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Solution

The fourth proportional to 11,963.10, 16,511.37 and 7,922.82 is: 10,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.10 : 16,511.37 = 7,922.82 : x
  2. Step 2: Convert to fraction form
    11,963.10/16,511.37 = 7,922.82/x
  3. Step 3: Cross multiply
    11,963.10x = 16,511.37 × 7,922.82
  4. Step 4: Simplify right side
    11,963.10x = 130,816,612.46
  5. Step 5: Solve for x
    x = 130,816,612.46/11,963.10
  6. Step 6: Final answer
    x = 10,935.01

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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.