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Finding the Fourth Proportional to 11,600.26, 16,007.97 and 6,881.78

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Solution

The fourth proportional to 11,600.26, 16,007.97 and 6,881.78 is: 9,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.26 : 16,007.97 = 6,881.78 : x
  2. Step 2: Convert to fraction form
    11,600.26/16,007.97 = 6,881.78/x
  3. Step 3: Cross multiply
    11,600.26x = 16,007.97 × 6,881.78
  4. Step 4: Simplify right side
    11,600.26x = 110,163,327.79
  5. Step 5: Solve for x
    x = 110,163,327.79/11,600.26
  6. Step 6: Final answer
    x = 9,496.63

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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.