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Finding the Fourth Proportional to 7,382.24, 11,063.64 and 4,093.64

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Solution

The fourth proportional to 7,382.24, 11,063.64 and 4,093.64 is: 6,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.24 : 11,063.64 = 4,093.64 : x
  2. Step 2: Convert to fraction form
    7,382.24/11,063.64 = 4,093.64/x
  3. Step 3: Cross multiply
    7,382.24x = 11,063.64 × 4,093.64
  4. Step 4: Simplify right side
    7,382.24x = 45,290,559.25
  5. Step 5: Solve for x
    x = 45,290,559.25/7,382.24
  6. Step 6: Final answer
    x = 6,135.07

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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.