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Finding the Fourth Proportional to 7,200.86, 10,801.66 and 2,270.88

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Solution

The fourth proportional to 7,200.86, 10,801.66 and 2,270.88 is: 3,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.86 : 10,801.66 = 2,270.88 : x
  2. Step 2: Convert to fraction form
    7,200.86/10,801.66 = 2,270.88/x
  3. Step 3: Cross multiply
    7,200.86x = 10,801.66 × 2,270.88
  4. Step 4: Simplify right side
    7,200.86x = 24,529,273.66
  5. Step 5: Solve for x
    x = 24,529,273.66/7,200.86
  6. Step 6: Final answer
    x = 3,406.44

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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.