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Finding the Fourth Proportional to 11,465.67, 17,198.53 and 3,145.80

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Solution

The fourth proportional to 11,465.67, 17,198.53 and 3,145.80 is: 4,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.67 : 17,198.53 = 3,145.80 : x
  2. Step 2: Convert to fraction form
    11,465.67/17,198.53 = 3,145.80/x
  3. Step 3: Cross multiply
    11,465.67x = 17,198.53 × 3,145.80
  4. Step 4: Simplify right side
    11,465.67x = 54,103,135.67
  5. Step 5: Solve for x
    x = 54,103,135.67/11,465.67
  6. Step 6: Final answer
    x = 4,718.71

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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.