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Finding the Fourth Proportional to 11,627.56, 17,441.82 and 6,077.80

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Solution

The fourth proportional to 11,627.56, 17,441.82 and 6,077.80 is: 9,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.56 : 17,441.82 = 6,077.80 : x
  2. Step 2: Convert to fraction form
    11,627.56/17,441.82 = 6,077.80/x
  3. Step 3: Cross multiply
    11,627.56x = 17,441.82 × 6,077.80
  4. Step 4: Simplify right side
    11,627.56x = 106,007,893.60
  5. Step 5: Solve for x
    x = 106,007,893.60/11,627.56
  6. Step 6: Final answer
    x = 9,116.95

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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.