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Finding the Fourth Proportional to 11,881.20, 16,400.16 and 6,847.43

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Solution

The fourth proportional to 11,881.20, 16,400.16 and 6,847.43 is: 9,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.20 : 16,400.16 = 6,847.43 : x
  2. Step 2: Convert to fraction form
    11,881.20/16,400.16 = 6,847.43/x
  3. Step 3: Cross multiply
    11,881.20x = 16,400.16 × 6,847.43
  4. Step 4: Simplify right side
    11,881.20x = 112,299,019.34
  5. Step 5: Solve for x
    x = 112,299,019.34/11,881.20
  6. Step 6: Final answer
    x = 9,451.82

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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.