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Finding the Fourth Proportional to 8,172.69, 12,264.22 and 3,492.73

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Solution

The fourth proportional to 8,172.69, 12,264.22 and 3,492.73 is: 5,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.69 : 12,264.22 = 3,492.73 : x
  2. Step 2: Convert to fraction form
    8,172.69/12,264.22 = 3,492.73/x
  3. Step 3: Cross multiply
    8,172.69x = 12,264.22 × 3,492.73
  4. Step 4: Simplify right side
    8,172.69x = 42,835,609.12
  5. Step 5: Solve for x
    x = 42,835,609.12/8,172.69
  6. Step 6: Final answer
    x = 5,241.31

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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.