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Finding the Fourth Proportional to 7,563.80, 11,338.11 and 2,882.61

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Solution

The fourth proportional to 7,563.80, 11,338.11 and 2,882.61 is: 4,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.80 : 11,338.11 = 2,882.61 : x
  2. Step 2: Convert to fraction form
    7,563.80/11,338.11 = 2,882.61/x
  3. Step 3: Cross multiply
    7,563.80x = 11,338.11 × 2,882.61
  4. Step 4: Simplify right side
    7,563.80x = 32,683,349.27
  5. Step 5: Solve for x
    x = 32,683,349.27/7,563.80
  6. Step 6: Final answer
    x = 4,321.02

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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.