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Finding the Fourth Proportional to 7,268.25, 10,906.31 and 5,628

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Solution

The fourth proportional to 7,268.25, 10,906.31 and 5,628 is: 8,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.25 : 10,906.31 = 5,628 : x
  2. Step 2: Convert to fraction form
    7,268.25/10,906.31 = 5,628/x
  3. Step 3: Cross multiply
    7,268.25x = 10,906.31 × 5,628
  4. Step 4: Simplify right side
    7,268.25x = 61,380,726.75
  5. Step 5: Solve for x
    x = 61,380,726.75/7,268.25
  6. Step 6: Final answer
    x = 8,445.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.