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Finding the Fourth Proportional to 10,949.80, 16,424.70 and 7,450.60

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Solution

The fourth proportional to 10,949.80, 16,424.70 and 7,450.60 is: 11,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.80 : 16,424.70 = 7,450.60 : x
  2. Step 2: Convert to fraction form
    10,949.80/16,424.70 = 7,450.60/x
  3. Step 3: Cross multiply
    10,949.80x = 16,424.70 × 7,450.60
  4. Step 4: Simplify right side
    10,949.80x = 122,373,869.82
  5. Step 5: Solve for x
    x = 122,373,869.82/10,949.80
  6. Step 6: Final answer
    x = 11,175.90

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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.