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Finding the Fourth Proportional to 11,225.10, 16,874.10 and 7,960.80

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Solution

The fourth proportional to 11,225.10, 16,874.10 and 7,960.80 is: 11,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.10 : 16,874.10 = 7,960.80 : x
  2. Step 2: Convert to fraction form
    11,225.10/16,874.10 = 7,960.80/x
  3. Step 3: Cross multiply
    11,225.10x = 16,874.10 × 7,960.80
  4. Step 4: Simplify right side
    11,225.10x = 134,331,335.28
  5. Step 5: Solve for x
    x = 134,331,335.28/11,225.10
  6. Step 6: Final answer
    x = 11,967.05

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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.