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Finding the Fourth Proportional to 8,234.84, 12,349.58 and 2,686.72

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Solution

The fourth proportional to 8,234.84, 12,349.58 and 2,686.72 is: 4,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.84 : 12,349.58 = 2,686.72 : x
  2. Step 2: Convert to fraction form
    8,234.84/12,349.58 = 2,686.72/x
  3. Step 3: Cross multiply
    8,234.84x = 12,349.58 × 2,686.72
  4. Step 4: Simplify right side
    8,234.84x = 33,179,863.58
  5. Step 5: Solve for x
    x = 33,179,863.58/8,234.84
  6. Step 6: Final answer
    x = 4,029.21

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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.