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Finding the Fourth Proportional to 11,736.31, 16,196.11 and 7,021.71

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Solution

The fourth proportional to 11,736.31, 16,196.11 and 7,021.71 is: 9,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.31 : 16,196.11 = 7,021.71 : x
  2. Step 2: Convert to fraction form
    11,736.31/16,196.11 = 7,021.71/x
  3. Step 3: Cross multiply
    11,736.31x = 16,196.11 × 7,021.71
  4. Step 4: Simplify right side
    11,736.31x = 113,724,387.55
  5. Step 5: Solve for x
    x = 113,724,387.55/11,736.31
  6. Step 6: Final answer
    x = 9,689.96

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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.