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Finding the Fourth Proportional to 11,486.76, 17,227.86 and 3,164.62

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Solution

The fourth proportional to 11,486.76, 17,227.86 and 3,164.62 is: 4,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.76 : 17,227.86 = 3,164.62 : x
  2. Step 2: Convert to fraction form
    11,486.76/17,227.86 = 3,164.62/x
  3. Step 3: Cross multiply
    11,486.76x = 17,227.86 × 3,164.62
  4. Step 4: Simplify right side
    11,486.76x = 54,519,630.31
  5. Step 5: Solve for x
    x = 54,519,630.31/11,486.76
  6. Step 6: Final answer
    x = 4,746.30

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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.