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Finding the Fourth Proportional to 7,798.31, 11,696.04 and 2,250.29

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Solution

The fourth proportional to 7,798.31, 11,696.04 and 2,250.29 is: 3,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.31 : 11,696.04 = 2,250.29 : x
  2. Step 2: Convert to fraction form
    7,798.31/11,696.04 = 2,250.29/x
  3. Step 3: Cross multiply
    7,798.31x = 11,696.04 × 2,250.29
  4. Step 4: Simplify right side
    7,798.31x = 26,319,481.85
  5. Step 5: Solve for x
    x = 26,319,481.85/7,798.31
  6. Step 6: Final answer
    x = 3,375.02

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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.