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Finding the Fourth Proportional to 8,212.74, 12,317.30 and 2,369.82

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Solution

The fourth proportional to 8,212.74, 12,317.30 and 2,369.82 is: 3,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.74 : 12,317.30 = 2,369.82 : x
  2. Step 2: Convert to fraction form
    8,212.74/12,317.30 = 2,369.82/x
  3. Step 3: Cross multiply
    8,212.74x = 12,317.30 × 2,369.82
  4. Step 4: Simplify right side
    8,212.74x = 29,189,783.89
  5. Step 5: Solve for x
    x = 29,189,783.89/8,212.74
  6. Step 6: Final answer
    x = 3,554.21

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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.