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Finding the Fourth Proportional to 11,704.76, 16,153.67 and 6,400.37

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Solution

The fourth proportional to 11,704.76, 16,153.67 and 6,400.37 is: 8,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.76 : 16,153.67 = 6,400.37 : x
  2. Step 2: Convert to fraction form
    11,704.76/16,153.67 = 6,400.37/x
  3. Step 3: Cross multiply
    11,704.76x = 16,153.67 × 6,400.37
  4. Step 4: Simplify right side
    11,704.76x = 103,389,464.86
  5. Step 5: Solve for x
    x = 103,389,464.86/11,704.76
  6. Step 6: Final answer
    x = 8,833.11

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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.