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Finding the Fourth Proportional to 6,813.74, 10,220.32 and 2,133.65

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Solution

The fourth proportional to 6,813.74, 10,220.32 and 2,133.65 is: 3,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.74 : 10,220.32 = 2,133.65 : x
  2. Step 2: Convert to fraction form
    6,813.74/10,220.32 = 2,133.65/x
  3. Step 3: Cross multiply
    6,813.74x = 10,220.32 × 2,133.65
  4. Step 4: Simplify right side
    6,813.74x = 21,806,542.91
  5. Step 5: Solve for x
    x = 21,806,542.91/6,813.74
  6. Step 6: Final answer
    x = 3,200.38

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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.