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Finding the Fourth Proportional to 11,665.02, 16,093.71 and 8,126.94

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Solution

The fourth proportional to 11,665.02, 16,093.71 and 8,126.94 is: 11,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.02 : 16,093.71 = 8,126.94 : x
  2. Step 2: Convert to fraction form
    11,665.02/16,093.71 = 8,126.94/x
  3. Step 3: Cross multiply
    11,665.02x = 16,093.71 × 8,126.94
  4. Step 4: Simplify right side
    11,665.02x = 130,792,615.55
  5. Step 5: Solve for x
    x = 130,792,615.55/11,665.02
  6. Step 6: Final answer
    x = 11,212.38

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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.