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Finding the Fourth Proportional to 8,242.14, 12,354.47 and 2,694

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Solution

The fourth proportional to 8,242.14, 12,354.47 and 2,694 is: 4,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.14 : 12,354.47 = 2,694 : x
  2. Step 2: Convert to fraction form
    8,242.14/12,354.47 = 2,694/x
  3. Step 3: Cross multiply
    8,242.14x = 12,354.47 × 2,694
  4. Step 4: Simplify right side
    8,242.14x = 33,282,942.18
  5. Step 5: Solve for x
    x = 33,282,942.18/8,242.14
  6. Step 6: Final answer
    x = 4,038.14

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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.