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Finding the Fourth Proportional to 7,745.71, 10,683.68 and 5,092.27

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Solution

The fourth proportional to 7,745.71, 10,683.68 and 5,092.27 is: 7,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.71 : 10,683.68 = 5,092.27 : x
  2. Step 2: Convert to fraction form
    7,745.71/10,683.68 = 5,092.27/x
  3. Step 3: Cross multiply
    7,745.71x = 10,683.68 × 5,092.27
  4. Step 4: Simplify right side
    7,745.71x = 54,404,157.69
  5. Step 5: Solve for x
    x = 54,404,157.69/7,745.71
  6. Step 6: Final answer
    x = 7,023.78

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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.