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Finding the Fourth Proportional to 11,704.93, 16,153.09 and 6,400.15

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Solution

The fourth proportional to 11,704.93, 16,153.09 and 6,400.15 is: 8,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.93 : 16,153.09 = 6,400.15 : x
  2. Step 2: Convert to fraction form
    11,704.93/16,153.09 = 6,400.15/x
  3. Step 3: Cross multiply
    11,704.93x = 16,153.09 × 6,400.15
  4. Step 4: Simplify right side
    11,704.93x = 103,382,142.58
  5. Step 5: Solve for x
    x = 103,382,142.58/11,704.93
  6. Step 6: Final answer
    x = 8,832.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.