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Finding the Fourth Proportional to 8,601.78, 12,902.10 and 2,678.55

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Solution

The fourth proportional to 8,601.78, 12,902.10 and 2,678.55 is: 4,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.78 : 12,902.10 = 2,678.55 : x
  2. Step 2: Convert to fraction form
    8,601.78/12,902.10 = 2,678.55/x
  3. Step 3: Cross multiply
    8,601.78x = 12,902.10 × 2,678.55
  4. Step 4: Simplify right side
    8,601.78x = 34,558,919.96
  5. Step 5: Solve for x
    x = 34,558,919.96/8,601.78
  6. Step 6: Final answer
    x = 4,017.65

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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.