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Finding the Fourth Proportional to 11,639.13, 16,062 and 6,333.83

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Solution

The fourth proportional to 11,639.13, 16,062 and 6,333.83 is: 8,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.13 : 16,062 = 6,333.83 : x
  2. Step 2: Convert to fraction form
    11,639.13/16,062 = 6,333.83/x
  3. Step 3: Cross multiply
    11,639.13x = 16,062 × 6,333.83
  4. Step 4: Simplify right side
    11,639.13x = 101,733,977.46
  5. Step 5: Solve for x
    x = 101,733,977.46/11,639.13
  6. Step 6: Final answer
    x = 8,740.69

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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.