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Finding the Fourth Proportional to 8,212.35, 12,318.42 and 3,768.75

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Solution

The fourth proportional to 8,212.35, 12,318.42 and 3,768.75 is: 5,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.35 : 12,318.42 = 3,768.75 : x
  2. Step 2: Convert to fraction form
    8,212.35/12,318.42 = 3,768.75/x
  3. Step 3: Cross multiply
    8,212.35x = 12,318.42 × 3,768.75
  4. Step 4: Simplify right side
    8,212.35x = 46,425,045.38
  5. Step 5: Solve for x
    x = 46,425,045.38/8,212.35
  6. Step 6: Final answer
    x = 5,653.08

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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.