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Finding the Fourth Proportional to 11,773.40, 16,247.22 and 6,996.62

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Solution

The fourth proportional to 11,773.40, 16,247.22 and 6,996.62 is: 9,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.40 : 16,247.22 = 6,996.62 : x
  2. Step 2: Convert to fraction form
    11,773.40/16,247.22 = 6,996.62/x
  3. Step 3: Cross multiply
    11,773.40x = 16,247.22 × 6,996.62
  4. Step 4: Simplify right side
    11,773.40x = 113,675,543.16
  5. Step 5: Solve for x
    x = 113,675,543.16/11,773.40
  6. Step 6: Final answer
    x = 9,655.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.