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Finding the Fourth Proportional to 11,971.28, 17,965.56 and 6,787.28

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Solution

The fourth proportional to 11,971.28, 17,965.56 and 6,787.28 is: 10,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.28 : 17,965.56 = 6,787.28 : x
  2. Step 2: Convert to fraction form
    11,971.28/17,965.56 = 6,787.28/x
  3. Step 3: Cross multiply
    11,971.28x = 17,965.56 × 6,787.28
  4. Step 4: Simplify right side
    11,971.28x = 121,937,286.08
  5. Step 5: Solve for x
    x = 121,937,286.08/11,971.28
  6. Step 6: Final answer
    x = 10,185.82

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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.