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Finding the Fourth Proportional to 8,254.46, 12,373 and 2,706.36

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Solution

The fourth proportional to 8,254.46, 12,373 and 2,706.36 is: 4,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.46 : 12,373 = 2,706.36 : x
  2. Step 2: Convert to fraction form
    8,254.46/12,373 = 2,706.36/x
  3. Step 3: Cross multiply
    8,254.46x = 12,373 × 2,706.36
  4. Step 4: Simplify right side
    8,254.46x = 33,485,792.28
  5. Step 5: Solve for x
    x = 33,485,792.28/8,254.46
  6. Step 6: Final answer
    x = 4,056.69

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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.