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Finding the Fourth Proportional to 7,796.54, 11,696.82 and 2,250.32

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Solution

The fourth proportional to 7,796.54, 11,696.82 and 2,250.32 is: 3,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.54 : 11,696.82 = 2,250.32 : x
  2. Step 2: Convert to fraction form
    7,796.54/11,696.82 = 2,250.32/x
  3. Step 3: Cross multiply
    7,796.54x = 11,696.82 × 2,250.32
  4. Step 4: Simplify right side
    7,796.54x = 26,321,587.98
  5. Step 5: Solve for x
    x = 26,321,587.98/7,796.54
  6. Step 6: Final answer
    x = 3,376.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.