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Finding the Fourth Proportional to 7,163.93, 10,742.37 and 2,946.41

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Solution

The fourth proportional to 7,163.93, 10,742.37 and 2,946.41 is: 4,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.93 : 10,742.37 = 2,946.41 : x
  2. Step 2: Convert to fraction form
    7,163.93/10,742.37 = 2,946.41/x
  3. Step 3: Cross multiply
    7,163.93x = 10,742.37 × 2,946.41
  4. Step 4: Simplify right side
    7,163.93x = 31,651,372.68
  5. Step 5: Solve for x
    x = 31,651,372.68/7,163.93
  6. Step 6: Final answer
    x = 4,418.16

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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.