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Finding the Fourth Proportional to 7,205.41, 10,805.95 and 2,276.29

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Solution

The fourth proportional to 7,205.41, 10,805.95 and 2,276.29 is: 3,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.41 : 10,805.95 = 2,276.29 : x
  2. Step 2: Convert to fraction form
    7,205.41/10,805.95 = 2,276.29/x
  3. Step 3: Cross multiply
    7,205.41x = 10,805.95 × 2,276.29
  4. Step 4: Simplify right side
    7,205.41x = 24,597,475.93
  5. Step 5: Solve for x
    x = 24,597,475.93/7,205.41
  6. Step 6: Final answer
    x = 3,413.75

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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.