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Finding the Fourth Proportional to 7,206.88, 10,801.21 and 3,866.85

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Solution

The fourth proportional to 7,206.88, 10,801.21 and 3,866.85 is: 5,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.88 : 10,801.21 = 3,866.85 : x
  2. Step 2: Convert to fraction form
    7,206.88/10,801.21 = 3,866.85/x
  3. Step 3: Cross multiply
    7,206.88x = 10,801.21 × 3,866.85
  4. Step 4: Simplify right side
    7,206.88x = 41,766,658.89
  5. Step 5: Solve for x
    x = 41,766,658.89/7,206.88
  6. Step 6: Final answer
    x = 5,795.39

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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.