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Finding the Fourth Proportional to 11,851.40, 16,355.08 and 6,546.22

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Solution

The fourth proportional to 11,851.40, 16,355.08 and 6,546.22 is: 9,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.40 : 16,355.08 = 6,546.22 : x
  2. Step 2: Convert to fraction form
    11,851.40/16,355.08 = 6,546.22/x
  3. Step 3: Cross multiply
    11,851.40x = 16,355.08 × 6,546.22
  4. Step 4: Simplify right side
    11,851.40x = 107,063,951.80
  5. Step 5: Solve for x
    x = 107,063,951.80/11,851.40
  6. Step 6: Final answer
    x = 9,033.87

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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.