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Finding the Fourth Proportional to 7,968.69, 11,950.29 and 3,813.39

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Solution

The fourth proportional to 7,968.69, 11,950.29 and 3,813.39 is: 5,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.69 : 11,950.29 = 3,813.39 : x
  2. Step 2: Convert to fraction form
    7,968.69/11,950.29 = 3,813.39/x
  3. Step 3: Cross multiply
    7,968.69x = 11,950.29 × 3,813.39
  4. Step 4: Simplify right side
    7,968.69x = 45,571,116.38
  5. Step 5: Solve for x
    x = 45,571,116.38/7,968.69
  6. Step 6: Final answer
    x = 5,718.77

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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.