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Finding the Fourth Proportional to 11,637.86, 16,059.77 and 6,332.69

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Solution

The fourth proportional to 11,637.86, 16,059.77 and 6,332.69 is: 8,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.86 : 16,059.77 = 6,332.69 : x
  2. Step 2: Convert to fraction form
    11,637.86/16,059.77 = 6,332.69/x
  3. Step 3: Cross multiply
    11,637.86x = 16,059.77 × 6,332.69
  4. Step 4: Simplify right side
    11,637.86x = 101,701,544.88
  5. Step 5: Solve for x
    x = 101,701,544.88/11,637.86
  6. Step 6: Final answer
    x = 8,738.85

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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.