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Finding the Fourth Proportional to 11,257.64, 15,536.13 and 6,478.30

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Solution

The fourth proportional to 11,257.64, 15,536.13 and 6,478.30 is: 8,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.64 : 15,536.13 = 6,478.30 : x
  2. Step 2: Convert to fraction form
    11,257.64/15,536.13 = 6,478.30/x
  3. Step 3: Cross multiply
    11,257.64x = 15,536.13 × 6,478.30
  4. Step 4: Simplify right side
    11,257.64x = 100,647,672.14
  5. Step 5: Solve for x
    x = 100,647,672.14/11,257.64
  6. Step 6: Final answer
    x = 8,940.39

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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.