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Finding the Fourth Proportional to 8,128.84, 12,193.26 and 2,285.44

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Solution

The fourth proportional to 8,128.84, 12,193.26 and 2,285.44 is: 3,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.84 : 12,193.26 = 2,285.44 : x
  2. Step 2: Convert to fraction form
    8,128.84/12,193.26 = 2,285.44/x
  3. Step 3: Cross multiply
    8,128.84x = 12,193.26 × 2,285.44
  4. Step 4: Simplify right side
    8,128.84x = 27,866,964.13
  5. Step 5: Solve for x
    x = 27,866,964.13/8,128.84
  6. Step 6: Final answer
    x = 3,428.16

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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.