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Finding the Fourth Proportional to 11,463.88, 17,194.30 and 5,217.16

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Solution

The fourth proportional to 11,463.88, 17,194.30 and 5,217.16 is: 7,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.88 : 17,194.30 = 5,217.16 : x
  2. Step 2: Convert to fraction form
    11,463.88/17,194.30 = 5,217.16/x
  3. Step 3: Cross multiply
    11,463.88x = 17,194.30 × 5,217.16
  4. Step 4: Simplify right side
    11,463.88x = 89,705,388.10
  5. Step 5: Solve for x
    x = 89,705,388.10/11,463.88
  6. Step 6: Final answer
    x = 7,825.05

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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.