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Finding the Fourth Proportional to 11,639.63, 16,062.69 and 6,334.33

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Solution

The fourth proportional to 11,639.63, 16,062.69 and 6,334.33 is: 8,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.63 : 16,062.69 = 6,334.33 : x
  2. Step 2: Convert to fraction form
    11,639.63/16,062.69 = 6,334.33/x
  3. Step 3: Cross multiply
    11,639.63x = 16,062.69 × 6,334.33
  4. Step 4: Simplify right side
    11,639.63x = 101,746,379.15
  5. Step 5: Solve for x
    x = 101,746,379.15/11,639.63
  6. Step 6: Final answer
    x = 8,741.38

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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.