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Finding the Fourth Proportional to 7,412.72, 11,119.65 and 2,147.81

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Solution

The fourth proportional to 7,412.72, 11,119.65 and 2,147.81 is: 3,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.72 : 11,119.65 = 2,147.81 : x
  2. Step 2: Convert to fraction form
    7,412.72/11,119.65 = 2,147.81/x
  3. Step 3: Cross multiply
    7,412.72x = 11,119.65 × 2,147.81
  4. Step 4: Simplify right side
    7,412.72x = 23,882,839.87
  5. Step 5: Solve for x
    x = 23,882,839.87/7,412.72
  6. Step 6: Final answer
    x = 3,221.87

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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.