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Finding the Fourth Proportional to 7,243.14, 10,862.49 and 3,083.07

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Solution

The fourth proportional to 7,243.14, 10,862.49 and 3,083.07 is: 4,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.14 : 10,862.49 = 3,083.07 : x
  2. Step 2: Convert to fraction form
    7,243.14/10,862.49 = 3,083.07/x
  3. Step 3: Cross multiply
    7,243.14x = 10,862.49 × 3,083.07
  4. Step 4: Simplify right side
    7,243.14x = 33,489,817.04
  5. Step 5: Solve for x
    x = 33,489,817.04/7,243.14
  6. Step 6: Final answer
    x = 4,623.66

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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.