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Finding the Fourth Proportional to 11,306.43, 16,951.73 and 4,286.84

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Solution

The fourth proportional to 11,306.43, 16,951.73 and 4,286.84 is: 6,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.43 : 16,951.73 = 4,286.84 : x
  2. Step 2: Convert to fraction form
    11,306.43/16,951.73 = 4,286.84/x
  3. Step 3: Cross multiply
    11,306.43x = 16,951.73 × 4,286.84
  4. Step 4: Simplify right side
    11,306.43x = 72,669,248.04
  5. Step 5: Solve for x
    x = 72,669,248.04/11,306.43
  6. Step 6: Final answer
    x = 6,427.25

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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.