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Finding the Fourth Proportional to 8,362.14, 12,542.94 and 3,428.46

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Solution

The fourth proportional to 8,362.14, 12,542.94 and 3,428.46 is: 5,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.14 : 12,542.94 = 3,428.46 : x
  2. Step 2: Convert to fraction form
    8,362.14/12,542.94 = 3,428.46/x
  3. Step 3: Cross multiply
    8,362.14x = 12,542.94 × 3,428.46
  4. Step 4: Simplify right side
    8,362.14x = 43,002,968.07
  5. Step 5: Solve for x
    x = 43,002,968.07/8,362.14
  6. Step 6: Final answer
    x = 5,142.58

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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.