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Finding the Fourth Proportional to 11,156.86, 16,732.49 and 4,584.86

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Solution

The fourth proportional to 11,156.86, 16,732.49 and 4,584.86 is: 6,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,156.86 : 16,732.49 = 4,584.86 : x
  2. Step 2: Convert to fraction form
    11,156.86/16,732.49 = 4,584.86/x
  3. Step 3: Cross multiply
    11,156.86x = 16,732.49 × 4,584.86
  4. Step 4: Simplify right side
    11,156.86x = 76,716,124.10
  5. Step 5: Solve for x
    x = 76,716,124.10/11,156.86
  6. Step 6: Final answer
    x = 6,876.14

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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.