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Finding the Fourth Proportional to 8,228.96, 12,343.04 and 2,385.44

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Solution

The fourth proportional to 8,228.96, 12,343.04 and 2,385.44 is: 3,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.96 : 12,343.04 = 2,385.44 : x
  2. Step 2: Convert to fraction form
    8,228.96/12,343.04 = 2,385.44/x
  3. Step 3: Cross multiply
    8,228.96x = 12,343.04 × 2,385.44
  4. Step 4: Simplify right side
    8,228.96x = 29,443,581.34
  5. Step 5: Solve for x
    x = 29,443,581.34/8,228.96
  6. Step 6: Final answer
    x = 3,578.04

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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.