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Finding the Fourth Proportional to 7,684.28, 11,524.02 and 2,489.08

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Solution

The fourth proportional to 7,684.28, 11,524.02 and 2,489.08 is: 3,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.28 : 11,524.02 = 2,489.08 : x
  2. Step 2: Convert to fraction form
    7,684.28/11,524.02 = 2,489.08/x
  3. Step 3: Cross multiply
    7,684.28x = 11,524.02 × 2,489.08
  4. Step 4: Simplify right side
    7,684.28x = 28,684,207.70
  5. Step 5: Solve for x
    x = 28,684,207.70/7,684.28
  6. Step 6: Final answer
    x = 3,732.84

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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.