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Finding the Fourth Proportional to 7,382.10, 11,074.38 and 3,684.48

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Solution

The fourth proportional to 7,382.10, 11,074.38 and 3,684.48 is: 5,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.10 : 11,074.38 = 3,684.48 : x
  2. Step 2: Convert to fraction form
    7,382.10/11,074.38 = 3,684.48/x
  3. Step 3: Cross multiply
    7,382.10x = 11,074.38 × 3,684.48
  4. Step 4: Simplify right side
    7,382.10x = 40,803,331.62
  5. Step 5: Solve for x
    x = 40,803,331.62/7,382.10
  6. Step 6: Final answer
    x = 5,527.33

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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.