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Finding the Fourth Proportional to 7,447.01, 11,147.21 and 4,811

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Solution

The fourth proportional to 7,447.01, 11,147.21 and 4,811 is: 7,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.01 : 11,147.21 = 4,811 : x
  2. Step 2: Convert to fraction form
    7,447.01/11,147.21 = 4,811/x
  3. Step 3: Cross multiply
    7,447.01x = 11,147.21 × 4,811
  4. Step 4: Simplify right side
    7,447.01x = 53,629,203.26
  5. Step 5: Solve for x
    x = 53,629,203.26/7,447.01
  6. Step 6: Final answer
    x = 7,201.44

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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.