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Finding the Fourth Proportional to 7,382.82, 11,074.23 and 2,189.10

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Solution

The fourth proportional to 7,382.82, 11,074.23 and 2,189.10 is: 3,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.82 : 11,074.23 = 2,189.10 : x
  2. Step 2: Convert to fraction form
    7,382.82/11,074.23 = 2,189.10/x
  3. Step 3: Cross multiply
    7,382.82x = 11,074.23 × 2,189.10
  4. Step 4: Simplify right side
    7,382.82x = 24,242,596.89
  5. Step 5: Solve for x
    x = 24,242,596.89/7,382.82
  6. Step 6: Final answer
    x = 3,283.65

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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.