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Finding the Fourth Proportional to 11,632.38, 16,052.88 and 6,327.28

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Solution

The fourth proportional to 11,632.38, 16,052.88 and 6,327.28 is: 8,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.38 : 16,052.88 = 6,327.28 : x
  2. Step 2: Convert to fraction form
    11,632.38/16,052.88 = 6,327.28/x
  3. Step 3: Cross multiply
    11,632.38x = 16,052.88 × 6,327.28
  4. Step 4: Simplify right side
    11,632.38x = 101,571,066.57
  5. Step 5: Solve for x
    x = 101,571,066.57/11,632.38
  6. Step 6: Final answer
    x = 8,731.75

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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.