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Finding the Fourth Proportional to 8,234, 12,351 and 3,307.04

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Solution

The fourth proportional to 8,234, 12,351 and 3,307.04 is: 4,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234 : 12,351 = 3,307.04 : x
  2. Step 2: Convert to fraction form
    8,234/12,351 = 3,307.04/x
  3. Step 3: Cross multiply
    8,234x = 12,351 × 3,307.04
  4. Step 4: Simplify right side
    8,234x = 40,845,251.04
  5. Step 5: Solve for x
    x = 40,845,251.04/8,234
  6. Step 6: Final answer
    x = 4,960.56

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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.