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Finding the Fourth Proportional to 7,866.44, 11,797.26 and 6,634.28

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Solution

The fourth proportional to 7,866.44, 11,797.26 and 6,634.28 is: 9,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.44 : 11,797.26 = 6,634.28 : x
  2. Step 2: Convert to fraction form
    7,866.44/11,797.26 = 6,634.28/x
  3. Step 3: Cross multiply
    7,866.44x = 11,797.26 × 6,634.28
  4. Step 4: Simplify right side
    7,866.44x = 78,266,326.07
  5. Step 5: Solve for x
    x = 78,266,326.07/7,866.44
  6. Step 6: Final answer
    x = 9,949.40

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