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Finding the Fourth Proportional to 8,601.40, 12,902.10 and 7,967.80

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Solution

The fourth proportional to 8,601.40, 12,902.10 and 7,967.80 is: 11,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.40 : 12,902.10 = 7,967.80 : x
  2. Step 2: Convert to fraction form
    8,601.40/12,902.10 = 7,967.80/x
  3. Step 3: Cross multiply
    8,601.40x = 12,902.10 × 7,967.80
  4. Step 4: Simplify right side
    8,601.40x = 102,801,352.38
  5. Step 5: Solve for x
    x = 102,801,352.38/8,601.40
  6. Step 6: Final answer
    x = 11,951.70

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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.