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Finding the Fourth Proportional to 8,159.67, 12,241.31 and 2,965.50

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Solution

The fourth proportional to 8,159.67, 12,241.31 and 2,965.50 is: 4,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.67 : 12,241.31 = 2,965.50 : x
  2. Step 2: Convert to fraction form
    8,159.67/12,241.31 = 2,965.50/x
  3. Step 3: Cross multiply
    8,159.67x = 12,241.31 × 2,965.50
  4. Step 4: Simplify right side
    8,159.67x = 36,301,589.98
  5. Step 5: Solve for x
    x = 36,301,589.98/8,159.67
  6. Step 6: Final answer
    x = 4,448.90

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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.