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Finding the Fourth Proportional to 8,253.46, 12,371.50 and 2,705.36

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Solution

The fourth proportional to 8,253.46, 12,371.50 and 2,705.36 is: 4,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.46 : 12,371.50 = 2,705.36 : x
  2. Step 2: Convert to fraction form
    8,253.46/12,371.50 = 2,705.36/x
  3. Step 3: Cross multiply
    8,253.46x = 12,371.50 × 2,705.36
  4. Step 4: Simplify right side
    8,253.46x = 33,469,361.24
  5. Step 5: Solve for x
    x = 33,469,361.24/8,253.46
  6. Step 6: Final answer
    x = 4,055.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.