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Finding the Fourth Proportional to 4,711.22, 7,066.87 and 1,201.23

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Solution

The fourth proportional to 4,711.22, 7,066.87 and 1,201.23 is: 1,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.22 : 7,066.87 = 1,201.23 : x
  2. Step 2: Convert to fraction form
    4,711.22/7,066.87 = 1,201.23/x
  3. Step 3: Cross multiply
    4,711.22x = 7,066.87 × 1,201.23
  4. Step 4: Simplify right side
    4,711.22x = 8,488,936.25
  5. Step 5: Solve for x
    x = 8,488,936.25/4,711.22
  6. Step 6: Final answer
    x = 1,801.86

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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.