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Finding the Fourth Proportional to 7,198.26, 10,772.98 and 4,426.67

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Solution

The fourth proportional to 7,198.26, 10,772.98 and 4,426.67 is: 6,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.26 : 10,772.98 = 4,426.67 : x
  2. Step 2: Convert to fraction form
    7,198.26/10,772.98 = 4,426.67/x
  3. Step 3: Cross multiply
    7,198.26x = 10,772.98 × 4,426.67
  4. Step 4: Simplify right side
    7,198.26x = 47,688,427.38
  5. Step 5: Solve for x
    x = 47,688,427.38/7,198.26
  6. Step 6: Final answer
    x = 6,625.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.