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Finding the Fourth Proportional to 7,214.56, 10,817.74 and 2,285.44

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Solution

The fourth proportional to 7,214.56, 10,817.74 and 2,285.44 is: 3,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.56 : 10,817.74 = 2,285.44 : x
  2. Step 2: Convert to fraction form
    7,214.56/10,817.74 = 2,285.44/x
  3. Step 3: Cross multiply
    7,214.56x = 10,817.74 × 2,285.44
  4. Step 4: Simplify right side
    7,214.56x = 24,723,295.71
  5. Step 5: Solve for x
    x = 24,723,295.71/7,214.56
  6. Step 6: Final answer
    x = 3,426.86

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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.