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Finding the Fourth Proportional to 7,163.80, 10,744.89 and 1,969

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Solution

The fourth proportional to 7,163.80, 10,744.89 and 1,969 is: 2,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.80 : 10,744.89 = 1,969 : x
  2. Step 2: Convert to fraction form
    7,163.80/10,744.89 = 1,969/x
  3. Step 3: Cross multiply
    7,163.80x = 10,744.89 × 1,969
  4. Step 4: Simplify right side
    7,163.80x = 21,156,688.41
  5. Step 5: Solve for x
    x = 21,156,688.41/7,163.80
  6. Step 6: Final answer
    x = 2,953.28

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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.