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Finding the Fourth Proportional to 8,141.84, 12,214.53 and 3,461.97

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Solution

The fourth proportional to 8,141.84, 12,214.53 and 3,461.97 is: 5,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.84 : 12,214.53 = 3,461.97 : x
  2. Step 2: Convert to fraction form
    8,141.84/12,214.53 = 3,461.97/x
  3. Step 3: Cross multiply
    8,141.84x = 12,214.53 × 3,461.97
  4. Step 4: Simplify right side
    8,141.84x = 42,286,336.42
  5. Step 5: Solve for x
    x = 42,286,336.42/8,141.84
  6. Step 6: Final answer
    x = 5,193.71

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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.