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Finding the Fourth Proportional to 11,670.21, 17,505.86 and 5,096.25

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Solution

The fourth proportional to 11,670.21, 17,505.86 and 5,096.25 is: 7,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.21 : 17,505.86 = 5,096.25 : x
  2. Step 2: Convert to fraction form
    11,670.21/17,505.86 = 5,096.25/x
  3. Step 3: Cross multiply
    11,670.21x = 17,505.86 × 5,096.25
  4. Step 4: Simplify right side
    11,670.21x = 89,214,213.54
  5. Step 5: Solve for x
    x = 89,214,213.54/11,670.21
  6. Step 6: Final answer
    x = 7,644.61

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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.