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Finding the Fourth Proportional to 7,163.49, 10,742.50 and 2,780.38

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Solution

The fourth proportional to 7,163.49, 10,742.50 and 2,780.38 is: 4,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.49 : 10,742.50 = 2,780.38 : x
  2. Step 2: Convert to fraction form
    7,163.49/10,742.50 = 2,780.38/x
  3. Step 3: Cross multiply
    7,163.49x = 10,742.50 × 2,780.38
  4. Step 4: Simplify right side
    7,163.49x = 29,868,232.15
  5. Step 5: Solve for x
    x = 29,868,232.15/7,163.49
  6. Step 6: Final answer
    x = 4,169.51

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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.