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Finding the Fourth Proportional to 11,576.97, 15,963.30 and 8,383.95

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Solution

The fourth proportional to 11,576.97, 15,963.30 and 8,383.95 is: 11,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.97 : 15,963.30 = 8,383.95 : x
  2. Step 2: Convert to fraction form
    11,576.97/15,963.30 = 8,383.95/x
  3. Step 3: Cross multiply
    11,576.97x = 15,963.30 × 8,383.95
  4. Step 4: Simplify right side
    11,576.97x = 133,835,509.04
  5. Step 5: Solve for x
    x = 133,835,509.04/11,576.97
  6. Step 6: Final answer
    x = 11,560.50

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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.