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Finding the Fourth Proportional to 11,996.31, 16,551.59 and 7,747.55

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Solution

The fourth proportional to 11,996.31, 16,551.59 and 7,747.55 is: 10,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.31 : 16,551.59 = 7,747.55 : x
  2. Step 2: Convert to fraction form
    11,996.31/16,551.59 = 7,747.55/x
  3. Step 3: Cross multiply
    11,996.31x = 16,551.59 × 7,747.55
  4. Step 4: Simplify right side
    11,996.31x = 128,234,283.11
  5. Step 5: Solve for x
    x = 128,234,283.11/11,996.31
  6. Step 6: Final answer
    x = 10,689.48

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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.