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Finding the Fourth Proportional to 11,257.39, 16,885.68 and 3,466

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Solution

The fourth proportional to 11,257.39, 16,885.68 and 3,466 is: 5,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.39 : 16,885.68 = 3,466 : x
  2. Step 2: Convert to fraction form
    11,257.39/16,885.68 = 3,466/x
  3. Step 3: Cross multiply
    11,257.39x = 16,885.68 × 3,466
  4. Step 4: Simplify right side
    11,257.39x = 58,525,766.88
  5. Step 5: Solve for x
    x = 58,525,766.88/11,257.39
  6. Step 6: Final answer
    x = 5,198.88

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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.