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Finding the Fourth Proportional to 12,928.28, 17,842.68 and 7,891.43

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Solution

The fourth proportional to 12,928.28, 17,842.68 and 7,891.43 is: 10,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.28 : 17,842.68 = 7,891.43 : x
  2. Step 2: Convert to fraction form
    12,928.28/17,842.68 = 7,891.43/x
  3. Step 3: Cross multiply
    12,928.28x = 17,842.68 × 7,891.43
  4. Step 4: Simplify right side
    12,928.28x = 140,804,171.02
  5. Step 5: Solve for x
    x = 140,804,171.02/12,928.28
  6. Step 6: Final answer
    x = 10,891.17

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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.