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Finding the Fourth Proportional to 10,161.92, 14,019 and 5,968.28

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Solution

The fourth proportional to 10,161.92, 14,019 and 5,968.28 is: 8,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.92 : 14,019 = 5,968.28 : x
  2. Step 2: Convert to fraction form
    10,161.92/14,019 = 5,968.28/x
  3. Step 3: Cross multiply
    10,161.92x = 14,019 × 5,968.28
  4. Step 4: Simplify right side
    10,161.92x = 83,669,317.32
  5. Step 5: Solve for x
    x = 83,669,317.32/10,161.92
  6. Step 6: Final answer
    x = 8,233.61

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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.