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Finding the Fourth Proportional to 7,643.26, 10,546.09 and 4,994.56

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Solution

The fourth proportional to 7,643.26, 10,546.09 and 4,994.56 is: 6,891.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.26 : 10,546.09 = 4,994.56 : x
  2. Step 2: Convert to fraction form
    7,643.26/10,546.09 = 4,994.56/x
  3. Step 3: Cross multiply
    7,643.26x = 10,546.09 × 4,994.56
  4. Step 4: Simplify right side
    7,643.26x = 52,673,079.27
  5. Step 5: Solve for x
    x = 52,673,079.27/7,643.26
  6. Step 6: Final answer
    x = 6,891.44

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