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Finding the Fourth Proportional to 7,906.65, 11,860.18 and 3,745.68

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Solution

The fourth proportional to 7,906.65, 11,860.18 and 3,745.68 is: 5,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.65 : 11,860.18 = 3,745.68 : x
  2. Step 2: Convert to fraction form
    7,906.65/11,860.18 = 3,745.68/x
  3. Step 3: Cross multiply
    7,906.65x = 11,860.18 × 3,745.68
  4. Step 4: Simplify right side
    7,906.65x = 44,424,429.66
  5. Step 5: Solve for x
    x = 44,424,429.66/7,906.65
  6. Step 6: Final answer
    x = 5,618.62

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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.