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Finding the Fourth Proportional to 10,813.93, 16,222.83 and 7,450.90

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Solution

The fourth proportional to 10,813.93, 16,222.83 and 7,450.90 is: 11,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.93 : 16,222.83 = 7,450.90 : x
  2. Step 2: Convert to fraction form
    10,813.93/16,222.83 = 7,450.90/x
  3. Step 3: Cross multiply
    10,813.93x = 16,222.83 × 7,450.90
  4. Step 4: Simplify right side
    10,813.93x = 120,874,684.05
  5. Step 5: Solve for x
    x = 120,874,684.05/10,813.93
  6. Step 6: Final answer
    x = 11,177.68

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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.