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Finding the Fourth Proportional to 10,942.60, 16,389.60 and 8,469.40

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Solution

The fourth proportional to 10,942.60, 16,389.60 and 8,469.40 is: 12,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.60 : 16,389.60 = 8,469.40 : x
  2. Step 2: Convert to fraction form
    10,942.60/16,389.60 = 8,469.40/x
  3. Step 3: Cross multiply
    10,942.60x = 16,389.60 × 8,469.40
  4. Step 4: Simplify right side
    10,942.60x = 138,810,078.24
  5. Step 5: Solve for x
    x = 138,810,078.24/10,942.60
  6. Step 6: Final answer
    x = 12,685.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.