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Finding the Fourth Proportional to 6,994.26, 10,490.28 and 4,546.44

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Solution

The fourth proportional to 6,994.26, 10,490.28 and 4,546.44 is: 6,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.26 : 10,490.28 = 4,546.44 : x
  2. Step 2: Convert to fraction form
    6,994.26/10,490.28 = 4,546.44/x
  3. Step 3: Cross multiply
    6,994.26x = 10,490.28 × 4,546.44
  4. Step 4: Simplify right side
    6,994.26x = 47,693,428.60
  5. Step 5: Solve for x
    x = 47,693,428.60/6,994.26
  6. Step 6: Final answer
    x = 6,818.94

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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.