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Finding the Fourth Proportional to 8,032.12, 12,039.96 and 2,834.44

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Solution

The fourth proportional to 8,032.12, 12,039.96 and 2,834.44 is: 4,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.12 : 12,039.96 = 2,834.44 : x
  2. Step 2: Convert to fraction form
    8,032.12/12,039.96 = 2,834.44/x
  3. Step 3: Cross multiply
    8,032.12x = 12,039.96 × 2,834.44
  4. Step 4: Simplify right side
    8,032.12x = 34,126,544.22
  5. Step 5: Solve for x
    x = 34,126,544.22/8,032.12
  6. Step 6: Final answer
    x = 4,248.76

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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.