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Finding the Fourth Proportional to 7,717.67, 11,578.53 and 3,338.20

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Solution

The fourth proportional to 7,717.67, 11,578.53 and 3,338.20 is: 5,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.67 : 11,578.53 = 3,338.20 : x
  2. Step 2: Convert to fraction form
    7,717.67/11,578.53 = 3,338.20/x
  3. Step 3: Cross multiply
    7,717.67x = 11,578.53 × 3,338.20
  4. Step 4: Simplify right side
    7,717.67x = 38,651,448.85
  5. Step 5: Solve for x
    x = 38,651,448.85/7,717.67
  6. Step 6: Final answer
    x = 5,008.18

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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.