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Finding the Fourth Proportional to 8,636.40, 11,911.92 and 5,647.44

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Solution

The fourth proportional to 8,636.40, 11,911.92 and 5,647.44 is: 7,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,636.40 : 11,911.92 = 5,647.44 : x
  2. Step 2: Convert to fraction form
    8,636.40/11,911.92 = 5,647.44/x
  3. Step 3: Cross multiply
    8,636.40x = 11,911.92 × 5,647.44
  4. Step 4: Simplify right side
    8,636.40x = 67,271,853.48
  5. Step 5: Solve for x
    x = 67,271,853.48/8,636.40
  6. Step 6: Final answer
    x = 7,789.34

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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.