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Finding the Fourth Proportional to 11,632.09, 16,052.16 and 6,326.90

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Solution

The fourth proportional to 11,632.09, 16,052.16 and 6,326.90 is: 8,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.09 : 16,052.16 = 6,326.90 : x
  2. Step 2: Convert to fraction form
    11,632.09/16,052.16 = 6,326.90/x
  3. Step 3: Cross multiply
    11,632.09x = 16,052.16 × 6,326.90
  4. Step 4: Simplify right side
    11,632.09x = 101,560,387.38
  5. Step 5: Solve for x
    x = 101,560,387.38/11,632.09
  6. Step 6: Final answer
    x = 8,731.06

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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.