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Finding the Fourth Proportional to 11,544.94, 17,331.77 and 8,057.13

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Solution

The fourth proportional to 11,544.94, 17,331.77 and 8,057.13 is: 12,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.94 : 17,331.77 = 8,057.13 : x
  2. Step 2: Convert to fraction form
    11,544.94/17,331.77 = 8,057.13/x
  3. Step 3: Cross multiply
    11,544.94x = 17,331.77 × 8,057.13
  4. Step 4: Simplify right side
    11,544.94x = 139,644,324.02
  5. Step 5: Solve for x
    x = 139,644,324.02/11,544.94
  6. Step 6: Final answer
    x = 12,095.72

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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.