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Finding the Fourth Proportional to 11,916.15, 17,879.69 and 6,076.86

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Solution

The fourth proportional to 11,916.15, 17,879.69 and 6,076.86 is: 9,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.15 : 17,879.69 = 6,076.86 : x
  2. Step 2: Convert to fraction form
    11,916.15/17,879.69 = 6,076.86/x
  3. Step 3: Cross multiply
    11,916.15x = 17,879.69 × 6,076.86
  4. Step 4: Simplify right side
    11,916.15x = 108,652,372.97
  5. Step 5: Solve for x
    x = 108,652,372.97/11,916.15
  6. Step 6: Final answer
    x = 9,118.08

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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.