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Finding the Fourth Proportional to 11,757.80, 17,636.70 and 5,180.60

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Solution

The fourth proportional to 11,757.80, 17,636.70 and 5,180.60 is: 7,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.80 : 17,636.70 = 5,180.60 : x
  2. Step 2: Convert to fraction form
    11,757.80/17,636.70 = 5,180.60/x
  3. Step 3: Cross multiply
    11,757.80x = 17,636.70 × 5,180.60
  4. Step 4: Simplify right side
    11,757.80x = 91,368,688.02
  5. Step 5: Solve for x
    x = 91,368,688.02/11,757.80
  6. Step 6: Final answer
    x = 7,770.90

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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.