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Finding the Fourth Proportional to 10,813.68, 16,222.46 and 7,450.65

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Solution

The fourth proportional to 10,813.68, 16,222.46 and 7,450.65 is: 11,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.68 : 16,222.46 = 7,450.65 : x
  2. Step 2: Convert to fraction form
    10,813.68/16,222.46 = 7,450.65/x
  3. Step 3: Cross multiply
    10,813.68x = 16,222.46 × 7,450.65
  4. Step 4: Simplify right side
    10,813.68x = 120,867,834.35
  5. Step 5: Solve for x
    x = 120,867,834.35/10,813.68
  6. Step 6: Final answer
    x = 11,177.31

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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.