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Finding the Fourth Proportional to 8,146.70, 11,242.76 and 4,512.83

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Solution

The fourth proportional to 8,146.70, 11,242.76 and 4,512.83 is: 6,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.70 : 11,242.76 = 4,512.83 : x
  2. Step 2: Convert to fraction form
    8,146.70/11,242.76 = 4,512.83/x
  3. Step 3: Cross multiply
    8,146.70x = 11,242.76 × 4,512.83
  4. Step 4: Simplify right side
    8,146.70x = 50,736,664.61
  5. Step 5: Solve for x
    x = 50,736,664.61/8,146.70
  6. Step 6: Final answer
    x = 6,227.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.