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Finding the Fourth Proportional to 7,783.27, 11,676.95 and 2,589.19

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Solution

The fourth proportional to 7,783.27, 11,676.95 and 2,589.19 is: 3,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.27 : 11,676.95 = 2,589.19 : x
  2. Step 2: Convert to fraction form
    7,783.27/11,676.95 = 2,589.19/x
  3. Step 3: Cross multiply
    7,783.27x = 11,676.95 × 2,589.19
  4. Step 4: Simplify right side
    7,783.27x = 30,233,829.22
  5. Step 5: Solve for x
    x = 30,233,829.22/7,783.27
  6. Step 6: Final answer
    x = 3,884.46

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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.