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Finding the Fourth Proportional to 7,201.80, 10,783.26 and 4,596.84

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Solution

The fourth proportional to 7,201.80, 10,783.26 and 4,596.84 is: 6,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.80 : 10,783.26 = 4,596.84 : x
  2. Step 2: Convert to fraction form
    7,201.80/10,783.26 = 4,596.84/x
  3. Step 3: Cross multiply
    7,201.80x = 10,783.26 × 4,596.84
  4. Step 4: Simplify right side
    7,201.80x = 49,568,920.90
  5. Step 5: Solve for x
    x = 49,568,920.90/7,201.80
  6. Step 6: Final answer
    x = 6,882.85

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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.