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Finding the Fourth Proportional to 7,201.09, 10,801.63 and 2,271.11

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Solution

The fourth proportional to 7,201.09, 10,801.63 and 2,271.11 is: 3,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.09 : 10,801.63 = 2,271.11 : x
  2. Step 2: Convert to fraction form
    7,201.09/10,801.63 = 2,271.11/x
  3. Step 3: Cross multiply
    7,201.09x = 10,801.63 × 2,271.11
  4. Step 4: Simplify right side
    7,201.09x = 24,531,662.73
  5. Step 5: Solve for x
    x = 24,531,662.73/7,201.09
  6. Step 6: Final answer
    x = 3,406.66

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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.