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Finding the Fourth Proportional to 11,613.04, 16,015.38 and 8,636.32

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Solution

The fourth proportional to 11,613.04, 16,015.38 and 8,636.32 is: 11,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.04 : 16,015.38 = 8,636.32 : x
  2. Step 2: Convert to fraction form
    11,613.04/16,015.38 = 8,636.32/x
  3. Step 3: Cross multiply
    11,613.04x = 16,015.38 × 8,636.32
  4. Step 4: Simplify right side
    11,613.04x = 138,313,946.60
  5. Step 5: Solve for x
    x = 138,313,946.60/11,613.04
  6. Step 6: Final answer
    x = 11,910.23

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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.