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Finding the Fourth Proportional to 11,704.80, 16,152.52 and 6,399.60

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Solution

The fourth proportional to 11,704.80, 16,152.52 and 6,399.60 is: 8,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.80 : 16,152.52 = 6,399.60 : x
  2. Step 2: Convert to fraction form
    11,704.80/16,152.52 = 6,399.60/x
  3. Step 3: Cross multiply
    11,704.80x = 16,152.52 × 6,399.60
  4. Step 4: Simplify right side
    11,704.80x = 103,369,634.99
  5. Step 5: Solve for x
    x = 103,369,634.99/11,704.80
  6. Step 6: Final answer
    x = 8,831.39

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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.