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Finding the Fourth Proportional to 11,846.88, 16,343.28 and 6,876

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Solution

The fourth proportional to 11,846.88, 16,343.28 and 6,876 is: 9,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.88 : 16,343.28 = 6,876 : x
  2. Step 2: Convert to fraction form
    11,846.88/16,343.28 = 6,876/x
  3. Step 3: Cross multiply
    11,846.88x = 16,343.28 × 6,876
  4. Step 4: Simplify right side
    11,846.88x = 112,376,393.28
  5. Step 5: Solve for x
    x = 112,376,393.28/11,846.88
  6. Step 6: Final answer
    x = 9,485.74

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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.