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Finding the Fourth Proportional to 11,989.08, 17,957.16 and 7,057.80

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Solution

The fourth proportional to 11,989.08, 17,957.16 and 7,057.80 is: 10,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.08 : 17,957.16 = 7,057.80 : x
  2. Step 2: Convert to fraction form
    11,989.08/17,957.16 = 7,057.80/x
  3. Step 3: Cross multiply
    11,989.08x = 17,957.16 × 7,057.80
  4. Step 4: Simplify right side
    11,989.08x = 126,738,043.85
  5. Step 5: Solve for x
    x = 126,738,043.85/11,989.08
  6. Step 6: Final answer
    x = 10,571.12

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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.