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Finding the Fourth Proportional to 6,800.84, 10,180.06 and 5,236.78

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Solution

The fourth proportional to 6,800.84, 10,180.06 and 5,236.78 is: 7,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.84 : 10,180.06 = 5,236.78 : x
  2. Step 2: Convert to fraction form
    6,800.84/10,180.06 = 5,236.78/x
  3. Step 3: Cross multiply
    6,800.84x = 10,180.06 × 5,236.78
  4. Step 4: Simplify right side
    6,800.84x = 53,310,734.61
  5. Step 5: Solve for x
    x = 53,310,734.61/6,800.84
  6. Step 6: Final answer
    x = 7,838.85

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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.