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Finding the Fourth Proportional to 11,680.80, 17,505.12 and 5,112.48

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Solution

The fourth proportional to 11,680.80, 17,505.12 and 5,112.48 is: 7,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.80 : 17,505.12 = 5,112.48 : x
  2. Step 2: Convert to fraction form
    11,680.80/17,505.12 = 5,112.48/x
  3. Step 3: Cross multiply
    11,680.80x = 17,505.12 × 5,112.48
  4. Step 4: Simplify right side
    11,680.80x = 89,494,575.90
  5. Step 5: Solve for x
    x = 89,494,575.90/11,680.80
  6. Step 6: Final answer
    x = 7,661.68

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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.