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Finding the Fourth Proportional to 8,537.46, 12,786.53 and 8,241.95

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Solution

The fourth proportional to 8,537.46, 12,786.53 and 8,241.95 is: 12,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.46 : 12,786.53 = 8,241.95 : x
  2. Step 2: Convert to fraction form
    8,537.46/12,786.53 = 8,241.95/x
  3. Step 3: Cross multiply
    8,537.46x = 12,786.53 × 8,241.95
  4. Step 4: Simplify right side
    8,537.46x = 105,385,940.93
  5. Step 5: Solve for x
    x = 105,385,940.93/8,537.46
  6. Step 6: Final answer
    x = 12,343.95

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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.