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Finding the Fourth Proportional to 11,704.40, 16,151.90 and 6,399.24

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Solution

The fourth proportional to 11,704.40, 16,151.90 and 6,399.24 is: 8,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.40 : 16,151.90 = 6,399.24 : x
  2. Step 2: Convert to fraction form
    11,704.40/16,151.90 = 6,399.24/x
  3. Step 3: Cross multiply
    11,704.40x = 16,151.90 × 6,399.24
  4. Step 4: Simplify right side
    11,704.40x = 103,359,852.56
  5. Step 5: Solve for x
    x = 103,359,852.56/11,704.40
  6. Step 6: Final answer
    x = 8,830.86

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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.