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Finding the Fourth Proportional to 8,126.50, 12,190.82 and 2,283.16

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Solution

The fourth proportional to 8,126.50, 12,190.82 and 2,283.16 is: 3,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.50 : 12,190.82 = 2,283.16 : x
  2. Step 2: Convert to fraction form
    8,126.50/12,190.82 = 2,283.16/x
  3. Step 3: Cross multiply
    8,126.50x = 12,190.82 × 2,283.16
  4. Step 4: Simplify right side
    8,126.50x = 27,833,592.59
  5. Step 5: Solve for x
    x = 27,833,592.59/8,126.50
  6. Step 6: Final answer
    x = 3,425.04

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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.