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Finding the Fourth Proportional to 7,209.96, 10,814.67 and 2,280.12

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Solution

The fourth proportional to 7,209.96, 10,814.67 and 2,280.12 is: 3,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.96 : 10,814.67 = 2,280.12 : x
  2. Step 2: Convert to fraction form
    7,209.96/10,814.67 = 2,280.12/x
  3. Step 3: Cross multiply
    7,209.96x = 10,814.67 × 2,280.12
  4. Step 4: Simplify right side
    7,209.96x = 24,658,745.36
  5. Step 5: Solve for x
    x = 24,658,745.36/7,209.96
  6. Step 6: Final answer
    x = 3,420.09

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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.