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Finding the Fourth Proportional to 7,854.25, 11,783.81 and 2,589.30

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Solution

The fourth proportional to 7,854.25, 11,783.81 and 2,589.30 is: 3,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.25 : 11,783.81 = 2,589.30 : x
  2. Step 2: Convert to fraction form
    7,854.25/11,783.81 = 2,589.30/x
  3. Step 3: Cross multiply
    7,854.25x = 11,783.81 × 2,589.30
  4. Step 4: Simplify right side
    7,854.25x = 30,511,819.23
  5. Step 5: Solve for x
    x = 30,511,819.23/7,854.25
  6. Step 6: Final answer
    x = 3,884.75

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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.