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Finding the Fourth Proportional to 7,187.38, 10,771.46 and 3,482.22

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Solution

The fourth proportional to 7,187.38, 10,771.46 and 3,482.22 is: 5,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.38 : 10,771.46 = 3,482.22 : x
  2. Step 2: Convert to fraction form
    7,187.38/10,771.46 = 3,482.22/x
  3. Step 3: Cross multiply
    7,187.38x = 10,771.46 × 3,482.22
  4. Step 4: Simplify right side
    7,187.38x = 37,508,593.44
  5. Step 5: Solve for x
    x = 37,508,593.44/7,187.38
  6. Step 6: Final answer
    x = 5,218.67

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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.