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Finding the Fourth Proportional to 11,632.86, 16,072.16 and 8,111.79

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Solution

The fourth proportional to 11,632.86, 16,072.16 and 8,111.79 is: 11,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.86 : 16,072.16 = 8,111.79 : x
  2. Step 2: Convert to fraction form
    11,632.86/16,072.16 = 8,111.79/x
  3. Step 3: Cross multiply
    11,632.86x = 16,072.16 × 8,111.79
  4. Step 4: Simplify right side
    11,632.86x = 130,373,946.21
  5. Step 5: Solve for x
    x = 130,373,946.21/11,632.86
  6. Step 6: Final answer
    x = 11,207.39

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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.