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Finding the Fourth Proportional to 8,376.42, 11,552.04 and 6,382.20

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Solution

The fourth proportional to 8,376.42, 11,552.04 and 6,382.20 is: 8,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.42 : 11,552.04 = 6,382.20 : x
  2. Step 2: Convert to fraction form
    8,376.42/11,552.04 = 6,382.20/x
  3. Step 3: Cross multiply
    8,376.42x = 11,552.04 × 6,382.20
  4. Step 4: Simplify right side
    8,376.42x = 73,727,429.69
  5. Step 5: Solve for x
    x = 73,727,429.69/8,376.42
  6. Step 6: Final answer
    x = 8,801.78

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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.