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Finding the Fourth Proportional to 7,214.54, 10,817.76 and 2,285.42

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Solution

The fourth proportional to 7,214.54, 10,817.76 and 2,285.42 is: 3,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.54 : 10,817.76 = 2,285.42 : x
  2. Step 2: Convert to fraction form
    7,214.54/10,817.76 = 2,285.42/x
  3. Step 3: Cross multiply
    7,214.54x = 10,817.76 × 2,285.42
  4. Step 4: Simplify right side
    7,214.54x = 24,723,125.06
  5. Step 5: Solve for x
    x = 24,723,125.06/7,214.54
  6. Step 6: Final answer
    x = 3,426.85

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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.