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Finding the Fourth Proportional to 11,963.34, 17,936.08 and 8,255

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Solution

The fourth proportional to 11,963.34, 17,936.08 and 8,255 is: 12,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.34 : 17,936.08 = 8,255 : x
  2. Step 2: Convert to fraction form
    11,963.34/17,936.08 = 8,255/x
  3. Step 3: Cross multiply
    11,963.34x = 17,936.08 × 8,255
  4. Step 4: Simplify right side
    11,963.34x = 148,062,340.40
  5. Step 5: Solve for x
    x = 148,062,340.40/11,963.34
  6. Step 6: Final answer
    x = 12,376.34

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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.