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Finding the Fourth Proportional to 7,796.57, 11,696.90 and 2,250.36

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Solution

The fourth proportional to 7,796.57, 11,696.90 and 2,250.36 is: 3,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.57 : 11,696.90 = 2,250.36 : x
  2. Step 2: Convert to fraction form
    7,796.57/11,696.90 = 2,250.36/x
  3. Step 3: Cross multiply
    7,796.57x = 11,696.90 × 2,250.36
  4. Step 4: Simplify right side
    7,796.57x = 26,322,224.63
  5. Step 5: Solve for x
    x = 26,322,224.63/7,796.57
  6. Step 6: Final answer
    x = 3,376.13

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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.