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Finding the Fourth Proportional to 11,631.38, 16,051.41 and 6,326.19

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Solution

The fourth proportional to 11,631.38, 16,051.41 and 6,326.19 is: 8,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.38 : 16,051.41 = 6,326.19 : x
  2. Step 2: Convert to fraction form
    11,631.38/16,051.41 = 6,326.19/x
  3. Step 3: Cross multiply
    11,631.38x = 16,051.41 × 6,326.19
  4. Step 4: Simplify right side
    11,631.38x = 101,544,269.43
  5. Step 5: Solve for x
    x = 101,544,269.43/11,631.38
  6. Step 6: Final answer
    x = 8,730.20

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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.