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Finding the Fourth Proportional to 11,773.44, 17,616.78 and 7,096.20

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Solution

The fourth proportional to 11,773.44, 17,616.78 and 7,096.20 is: 10,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.44 : 17,616.78 = 7,096.20 : x
  2. Step 2: Convert to fraction form
    11,773.44/17,616.78 = 7,096.20/x
  3. Step 3: Cross multiply
    11,773.44x = 17,616.78 × 7,096.20
  4. Step 4: Simplify right side
    11,773.44x = 125,012,194.24
  5. Step 5: Solve for x
    x = 125,012,194.24/11,773.44
  6. Step 6: Final answer
    x = 10,618.15

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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.