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Finding the Fourth Proportional to 8,159.96, 12,241.38 and 2,896.58

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Solution

The fourth proportional to 8,159.96, 12,241.38 and 2,896.58 is: 4,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.96 : 12,241.38 = 2,896.58 : x
  2. Step 2: Convert to fraction form
    8,159.96/12,241.38 = 2,896.58/x
  3. Step 3: Cross multiply
    8,159.96x = 12,241.38 × 2,896.58
  4. Step 4: Simplify right side
    8,159.96x = 35,458,136.48
  5. Step 5: Solve for x
    x = 35,458,136.48/8,159.96
  6. Step 6: Final answer
    x = 4,345.38

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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.