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Finding the Fourth Proportional to 11,842, 16,341.96 and 6,874

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Solution

The fourth proportional to 11,842, 16,341.96 and 6,874 is: 9,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842 : 16,341.96 = 6,874 : x
  2. Step 2: Convert to fraction form
    11,842/16,341.96 = 6,874/x
  3. Step 3: Cross multiply
    11,842x = 16,341.96 × 6,874
  4. Step 4: Simplify right side
    11,842x = 112,334,633.04
  5. Step 5: Solve for x
    x = 112,334,633.04/11,842
  6. Step 6: Final answer
    x = 9,486.12

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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.