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Finding the Fourth Proportional to 8,378.94, 11,537.91 and 7,121.82

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Solution

The fourth proportional to 8,378.94, 11,537.91 and 7,121.82 is: 9,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.94 : 11,537.91 = 7,121.82 : x
  2. Step 2: Convert to fraction form
    8,378.94/11,537.91 = 7,121.82/x
  3. Step 3: Cross multiply
    8,378.94x = 11,537.91 × 7,121.82
  4. Step 4: Simplify right side
    8,378.94x = 82,170,918.20
  5. Step 5: Solve for x
    x = 82,170,918.20/8,378.94
  6. Step 6: Final answer
    x = 9,806.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.