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Finding the Fourth Proportional to 7,818.30, 11,727.57 and 2,624.22

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Solution

The fourth proportional to 7,818.30, 11,727.57 and 2,624.22 is: 3,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.30 : 11,727.57 = 2,624.22 : x
  2. Step 2: Convert to fraction form
    7,818.30/11,727.57 = 2,624.22/x
  3. Step 3: Cross multiply
    7,818.30x = 11,727.57 × 2,624.22
  4. Step 4: Simplify right side
    7,818.30x = 30,775,723.75
  5. Step 5: Solve for x
    x = 30,775,723.75/7,818.30
  6. Step 6: Final answer
    x = 3,936.37

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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.