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Finding the Fourth Proportional to 7,863.88, 10,857.06 and 4,882.84

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Solution

The fourth proportional to 7,863.88, 10,857.06 and 4,882.84 is: 6,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.88 : 10,857.06 = 4,882.84 : x
  2. Step 2: Convert to fraction form
    7,863.88/10,857.06 = 4,882.84/x
  3. Step 3: Cross multiply
    7,863.88x = 10,857.06 × 4,882.84
  4. Step 4: Simplify right side
    7,863.88x = 53,013,286.85
  5. Step 5: Solve for x
    x = 53,013,286.85/7,863.88
  6. Step 6: Final answer
    x = 6,741.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.