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Finding the Fourth Proportional to 12,928.14, 17,842.49 and 7,891.29

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Solution

The fourth proportional to 12,928.14, 17,842.49 and 7,891.29 is: 10,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.14 : 17,842.49 = 7,891.29 : x
  2. Step 2: Convert to fraction form
    12,928.14/17,842.49 = 7,891.29/x
  3. Step 3: Cross multiply
    12,928.14x = 17,842.49 × 7,891.29
  4. Step 4: Simplify right side
    12,928.14x = 140,800,262.91
  5. Step 5: Solve for x
    x = 140,800,262.91/12,928.14
  6. Step 6: Final answer
    x = 10,890.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.