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Finding the Fourth Proportional to 12,211.83, 16,846.79 and 7,672.59

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Solution

The fourth proportional to 12,211.83, 16,846.79 and 7,672.59 is: 10,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.83 : 16,846.79 = 7,672.59 : x
  2. Step 2: Convert to fraction form
    12,211.83/16,846.79 = 7,672.59/x
  3. Step 3: Cross multiply
    12,211.83x = 16,846.79 × 7,672.59
  4. Step 4: Simplify right side
    12,211.83x = 129,258,474.12
  5. Step 5: Solve for x
    x = 129,258,474.12/12,211.83
  6. Step 6: Final answer
    x = 10,584.69

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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.