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Finding the Fourth Proportional to 11,631.73, 16,055.96 and 6,916

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Solution

The fourth proportional to 11,631.73, 16,055.96 and 6,916 is: 9,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.73 : 16,055.96 = 6,916 : x
  2. Step 2: Convert to fraction form
    11,631.73/16,055.96 = 6,916/x
  3. Step 3: Cross multiply
    11,631.73x = 16,055.96 × 6,916
  4. Step 4: Simplify right side
    11,631.73x = 111,043,036.65
  5. Step 5: Solve for x
    x = 111,043,036.65/11,631.73
  6. Step 6: Final answer
    x = 9,546.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.