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Finding the Fourth Proportional to 10,949.94, 16,425.54 and 7,438.44

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Solution

The fourth proportional to 10,949.94, 16,425.54 and 7,438.44 is: 11,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.94 : 16,425.54 = 7,438.44 : x
  2. Step 2: Convert to fraction form
    10,949.94/16,425.54 = 7,438.44/x
  3. Step 3: Cross multiply
    10,949.94x = 16,425.54 × 7,438.44
  4. Step 4: Simplify right side
    10,949.94x = 122,180,393.76
  5. Step 5: Solve for x
    x = 122,180,393.76/10,949.94
  6. Step 6: Final answer
    x = 11,158.09

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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.