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Finding the Fourth Proportional to 11,504.88, 17,257.70 and 3,184.20

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Solution

The fourth proportional to 11,504.88, 17,257.70 and 3,184.20 is: 4,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.88 : 17,257.70 = 3,184.20 : x
  2. Step 2: Convert to fraction form
    11,504.88/17,257.70 = 3,184.20/x
  3. Step 3: Cross multiply
    11,504.88x = 17,257.70 × 3,184.20
  4. Step 4: Simplify right side
    11,504.88x = 54,951,882.05
  5. Step 5: Solve for x
    x = 54,951,882.05/11,504.88
  6. Step 6: Final answer
    x = 4,776.40

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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.