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Finding the Fourth Proportional to 8,126.70, 12,188.64 and 2,283.78

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Solution

The fourth proportional to 8,126.70, 12,188.64 and 2,283.78 is: 3,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.70 : 12,188.64 = 2,283.78 : x
  2. Step 2: Convert to fraction form
    8,126.70/12,188.64 = 2,283.78/x
  3. Step 3: Cross multiply
    8,126.70x = 12,188.64 × 2,283.78
  4. Step 4: Simplify right side
    8,126.70x = 27,836,172.26
  5. Step 5: Solve for x
    x = 27,836,172.26/8,126.70
  6. Step 6: Final answer
    x = 3,425.27

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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.