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Finding the Fourth Proportional to 11,636.26, 16,056.84 and 6,919.63

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Solution

The fourth proportional to 11,636.26, 16,056.84 and 6,919.63 is: 9,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.26 : 16,056.84 = 6,919.63 : x
  2. Step 2: Convert to fraction form
    11,636.26/16,056.84 = 6,919.63/x
  3. Step 3: Cross multiply
    11,636.26x = 16,056.84 × 6,919.63
  4. Step 4: Simplify right side
    11,636.26x = 111,107,391.77
  5. Step 5: Solve for x
    x = 111,107,391.77/11,636.26
  6. Step 6: Final answer
    x = 9,548.38

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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.