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Finding the Fourth Proportional to 11,709.46, 16,172.38 and 7,874.44

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Solution

The fourth proportional to 11,709.46, 16,172.38 and 7,874.44 is: 10,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.46 : 16,172.38 = 7,874.44 : x
  2. Step 2: Convert to fraction form
    11,709.46/16,172.38 = 7,874.44/x
  3. Step 3: Cross multiply
    11,709.46x = 16,172.38 × 7,874.44
  4. Step 4: Simplify right side
    11,709.46x = 127,348,435.97
  5. Step 5: Solve for x
    x = 127,348,435.97/11,709.46
  6. Step 6: Final answer
    x = 10,875.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.