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Finding the Fourth Proportional to 11,704.05, 16,151.94 and 6,399.18

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Solution

The fourth proportional to 11,704.05, 16,151.94 and 6,399.18 is: 8,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.05 : 16,151.94 = 6,399.18 : x
  2. Step 2: Convert to fraction form
    11,704.05/16,151.94 = 6,399.18/x
  3. Step 3: Cross multiply
    11,704.05x = 16,151.94 × 6,399.18
  4. Step 4: Simplify right side
    11,704.05x = 103,359,171.41
  5. Step 5: Solve for x
    x = 103,359,171.41/11,704.05
  6. Step 6: Final answer
    x = 8,831.06

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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.