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Finding the Fourth Proportional to 11,772.10, 16,249.76 and 7,794.50

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Solution

The fourth proportional to 11,772.10, 16,249.76 and 7,794.50 is: 10,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.10 : 16,249.76 = 7,794.50 : x
  2. Step 2: Convert to fraction form
    11,772.10/16,249.76 = 7,794.50/x
  3. Step 3: Cross multiply
    11,772.10x = 16,249.76 × 7,794.50
  4. Step 4: Simplify right side
    11,772.10x = 126,658,707.17
  5. Step 5: Solve for x
    x = 126,658,707.17/11,772.10
  6. Step 6: Final answer
    x = 10,759.23

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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.