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Finding the Fourth Proportional to 7,412.26, 11,118.12 and 2,218

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Solution

The fourth proportional to 7,412.26, 11,118.12 and 2,218 is: 3,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.26 : 11,118.12 = 2,218 : x
  2. Step 2: Convert to fraction form
    7,412.26/11,118.12 = 2,218/x
  3. Step 3: Cross multiply
    7,412.26x = 11,118.12 × 2,218
  4. Step 4: Simplify right side
    7,412.26x = 24,659,990.16
  5. Step 5: Solve for x
    x = 24,659,990.16/7,412.26
  6. Step 6: Final answer
    x = 3,326.92

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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.