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Finding the Fourth Proportional to 8,114, 11,198.94 and 4,577.27

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Solution

The fourth proportional to 8,114, 11,198.94 and 4,577.27 is: 6,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114 : 11,198.94 = 4,577.27 : x
  2. Step 2: Convert to fraction form
    8,114/11,198.94 = 4,577.27/x
  3. Step 3: Cross multiply
    8,114x = 11,198.94 × 4,577.27
  4. Step 4: Simplify right side
    8,114x = 51,260,572.09
  5. Step 5: Solve for x
    x = 51,260,572.09/8,114
  6. Step 6: Final answer
    x = 6,317.55

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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.