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Finding the Fourth Proportional to 6,872.52, 10,283.25 and 4,100.70

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Solution

The fourth proportional to 6,872.52, 10,283.25 and 4,100.70 is: 6,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.52 : 10,283.25 = 4,100.70 : x
  2. Step 2: Convert to fraction form
    6,872.52/10,283.25 = 4,100.70/x
  3. Step 3: Cross multiply
    6,872.52x = 10,283.25 × 4,100.70
  4. Step 4: Simplify right side
    6,872.52x = 42,168,523.28
  5. Step 5: Solve for x
    x = 42,168,523.28/6,872.52
  6. Step 6: Final answer
    x = 6,135.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.