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Finding the Fourth Proportional to 7,086, 10,629 and 1,891.76

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Solution

The fourth proportional to 7,086, 10,629 and 1,891.76 is: 2,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086 : 10,629 = 1,891.76 : x
  2. Step 2: Convert to fraction form
    7,086/10,629 = 1,891.76/x
  3. Step 3: Cross multiply
    7,086x = 10,629 × 1,891.76
  4. Step 4: Simplify right side
    7,086x = 20,107,517.04
  5. Step 5: Solve for x
    x = 20,107,517.04/7,086
  6. Step 6: Final answer
    x = 2,837.64

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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.