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Finding the Fourth Proportional to 8,555, 11,815.62 and 5,755.64

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Solution

The fourth proportional to 8,555, 11,815.62 and 5,755.64 is: 7,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,555 : 11,815.62 = 5,755.64 : x
  2. Step 2: Convert to fraction form
    8,555/11,815.62 = 5,755.64/x
  3. Step 3: Cross multiply
    8,555x = 11,815.62 × 5,755.64
  4. Step 4: Simplify right side
    8,555x = 68,006,455.10
  5. Step 5: Solve for x
    x = 68,006,455.10/8,555
  6. Step 6: Final answer
    x = 7,949.32

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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.