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Finding the Fourth Proportional to 6,076.80, 8,382.72 and 4,087.68

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Solution

The fourth proportional to 6,076.80, 8,382.72 and 4,087.68 is: 5,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.80 : 8,382.72 = 4,087.68 : x
  2. Step 2: Convert to fraction form
    6,076.80/8,382.72 = 4,087.68/x
  3. Step 3: Cross multiply
    6,076.80x = 8,382.72 × 4,087.68
  4. Step 4: Simplify right side
    6,076.80x = 34,265,876.89
  5. Step 5: Solve for x
    x = 34,265,876.89/6,076.80
  6. Step 6: Final answer
    x = 5,638.80

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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.