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Finding the Fourth Proportional to 8,114.27, 11,197.78 and 4,757.18

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Solution

The fourth proportional to 8,114.27, 11,197.78 and 4,757.18 is: 6,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.27 : 11,197.78 = 4,757.18 : x
  2. Step 2: Convert to fraction form
    8,114.27/11,197.78 = 4,757.18/x
  3. Step 3: Cross multiply
    8,114.27x = 11,197.78 × 4,757.18
  4. Step 4: Simplify right side
    8,114.27x = 53,269,775.29
  5. Step 5: Solve for x
    x = 53,269,775.29/8,114.27
  6. Step 6: Final answer
    x = 6,564.95

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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.