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Finding the Fourth Proportional to 6,869.25, 10,299.02 and 4,894.88

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Solution

The fourth proportional to 6,869.25, 10,299.02 and 4,894.88 is: 7,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.25 : 10,299.02 = 4,894.88 : x
  2. Step 2: Convert to fraction form
    6,869.25/10,299.02 = 4,894.88/x
  3. Step 3: Cross multiply
    6,869.25x = 10,299.02 × 4,894.88
  4. Step 4: Simplify right side
    6,869.25x = 50,412,391.05
  5. Step 5: Solve for x
    x = 50,412,391.05/6,869.25
  6. Step 6: Final answer
    x = 7,338.85

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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.