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Finding the Fourth Proportional to 8,192.45, 12,285.54 and 2,644.95

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Solution

The fourth proportional to 8,192.45, 12,285.54 and 2,644.95 is: 3,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.45 : 12,285.54 = 2,644.95 : x
  2. Step 2: Convert to fraction form
    8,192.45/12,285.54 = 2,644.95/x
  3. Step 3: Cross multiply
    8,192.45x = 12,285.54 × 2,644.95
  4. Step 4: Simplify right side
    8,192.45x = 32,494,639.02
  5. Step 5: Solve for x
    x = 32,494,639.02/8,192.45
  6. Step 6: Final answer
    x = 3,966.42

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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.