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Finding the Fourth Proportional to 5,162.11, 7,743.15 and 1,464.34

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Solution

The fourth proportional to 5,162.11, 7,743.15 and 1,464.34 is: 2,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.11 : 7,743.15 = 1,464.34 : x
  2. Step 2: Convert to fraction form
    5,162.11/7,743.15 = 1,464.34/x
  3. Step 3: Cross multiply
    5,162.11x = 7,743.15 × 1,464.34
  4. Step 4: Simplify right side
    5,162.11x = 11,338,604.27
  5. Step 5: Solve for x
    x = 11,338,604.27/5,162.11
  6. Step 6: Final answer
    x = 2,196.51

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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.