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Finding the Fourth Proportional to 8,114.87, 11,198.45 and 4,757.00

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Solution

The fourth proportional to 8,114.87, 11,198.45 and 4,757.00 is: 6,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.87 : 11,198.45 = 4,757.00 : x
  2. Step 2: Convert to fraction form
    8,114.87/11,198.45 = 4,757.00/x
  3. Step 3: Cross multiply
    8,114.87x = 11,198.45 × 4,757.00
  4. Step 4: Simplify right side
    8,114.87x = 53,270,982.55
  5. Step 5: Solve for x
    x = 53,270,982.55/8,114.87
  6. Step 6: Final answer
    x = 6,564.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.