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Finding the Fourth Proportional to 7,988.33, 11,974.40 and 3,822.23

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Solution

The fourth proportional to 7,988.33, 11,974.40 and 3,822.23 is: 5,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.33 : 11,974.40 = 3,822.23 : x
  2. Step 2: Convert to fraction form
    7,988.33/11,974.40 = 3,822.23/x
  3. Step 3: Cross multiply
    7,988.33x = 11,974.40 × 3,822.23
  4. Step 4: Simplify right side
    7,988.33x = 45,768,936.07
  5. Step 5: Solve for x
    x = 45,768,936.07/7,988.33
  6. Step 6: Final answer
    x = 5,729.47

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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.