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Finding the Fourth Proportional to 8,172.45, 12,254.54 and 3,792.96

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Solution

The fourth proportional to 8,172.45, 12,254.54 and 3,792.96 is: 5,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.45 : 12,254.54 = 3,792.96 : x
  2. Step 2: Convert to fraction form
    8,172.45/12,254.54 = 3,792.96/x
  3. Step 3: Cross multiply
    8,172.45x = 12,254.54 × 3,792.96
  4. Step 4: Simplify right side
    8,172.45x = 46,480,961.07
  5. Step 5: Solve for x
    x = 46,480,961.07/8,172.45
  6. Step 6: Final answer
    x = 5,687.52

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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.