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Finding the Fourth Proportional to 7,863.08, 10,855.78 and 5,178.62

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Solution

The fourth proportional to 7,863.08, 10,855.78 and 5,178.62 is: 7,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.08 : 10,855.78 = 5,178.62 : x
  2. Step 2: Convert to fraction form
    7,863.08/10,855.78 = 5,178.62/x
  3. Step 3: Cross multiply
    7,863.08x = 10,855.78 × 5,178.62
  4. Step 4: Simplify right side
    7,863.08x = 56,217,959.42
  5. Step 5: Solve for x
    x = 56,217,959.42/7,863.08
  6. Step 6: Final answer
    x = 7,149.61

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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.