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Finding the Fourth Proportional to 11,647.17, 16,072.99 and 6,341.97

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Solution

The fourth proportional to 11,647.17, 16,072.99 and 6,341.97 is: 8,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.17 : 16,072.99 = 6,341.97 : x
  2. Step 2: Convert to fraction form
    11,647.17/16,072.99 = 6,341.97/x
  3. Step 3: Cross multiply
    11,647.17x = 16,072.99 × 6,341.97
  4. Step 4: Simplify right side
    11,647.17x = 101,934,420.39
  5. Step 5: Solve for x
    x = 101,934,420.39/11,647.17
  6. Step 6: Final answer
    x = 8,751.86

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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.