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Finding the Fourth Proportional to 11,174.24, 16,755.94 and 6,495.60

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Solution

The fourth proportional to 11,174.24, 16,755.94 and 6,495.60 is: 9,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.24 : 16,755.94 = 6,495.60 : x
  2. Step 2: Convert to fraction form
    11,174.24/16,755.94 = 6,495.60/x
  3. Step 3: Cross multiply
    11,174.24x = 16,755.94 × 6,495.60
  4. Step 4: Simplify right side
    11,174.24x = 108,839,883.86
  5. Step 5: Solve for x
    x = 108,839,883.86/11,174.24
  6. Step 6: Final answer
    x = 9,740.25

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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.