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Finding the Fourth Proportional to 7,675.73, 11,499.90 and 4,163.50

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Solution

The fourth proportional to 7,675.73, 11,499.90 and 4,163.50 is: 6,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.73 : 11,499.90 = 4,163.50 : x
  2. Step 2: Convert to fraction form
    7,675.73/11,499.90 = 4,163.50/x
  3. Step 3: Cross multiply
    7,675.73x = 11,499.90 × 4,163.50
  4. Step 4: Simplify right side
    7,675.73x = 47,879,833.65
  5. Step 5: Solve for x
    x = 47,879,833.65/7,675.73
  6. Step 6: Final answer
    x = 6,237.82

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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.