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Finding the Fourth Proportional to 8,125.84, 12,192.24 and 3,969.52

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Solution

The fourth proportional to 8,125.84, 12,192.24 and 3,969.52 is: 5,955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.84 : 12,192.24 = 3,969.52 : x
  2. Step 2: Convert to fraction form
    8,125.84/12,192.24 = 3,969.52/x
  3. Step 3: Cross multiply
    8,125.84x = 12,192.24 × 3,969.52
  4. Step 4: Simplify right side
    8,125.84x = 48,397,340.52
  5. Step 5: Solve for x
    x = 48,397,340.52/8,125.84
  6. Step 6: Final answer
    x = 5,955.98

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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.