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Finding the Fourth Proportional to 11,331, 15,636.44 and 6,295.20

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Solution

The fourth proportional to 11,331, 15,636.44 and 6,295.20 is: 8,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331 : 15,636.44 = 6,295.20 : x
  2. Step 2: Convert to fraction form
    11,331/15,636.44 = 6,295.20/x
  3. Step 3: Cross multiply
    11,331x = 15,636.44 × 6,295.20
  4. Step 4: Simplify right side
    11,331x = 98,434,517.09
  5. Step 5: Solve for x
    x = 98,434,517.09/11,331
  6. Step 6: Final answer
    x = 8,687.19

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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.