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Finding the Fourth Proportional to 8,172.96, 12,264.18 and 3,243.12

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Solution

The fourth proportional to 8,172.96, 12,264.18 and 3,243.12 is: 4,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.96 : 12,264.18 = 3,243.12 : x
  2. Step 2: Convert to fraction form
    8,172.96/12,264.18 = 3,243.12/x
  3. Step 3: Cross multiply
    8,172.96x = 12,264.18 × 3,243.12
  4. Step 4: Simplify right side
    8,172.96x = 39,774,207.44
  5. Step 5: Solve for x
    x = 39,774,207.44/8,172.96
  6. Step 6: Final answer
    x = 4,866.56

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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.