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Finding the Fourth Proportional to 8,343, 12,511.14 and 3,076.78

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Solution

The fourth proportional to 8,343, 12,511.14 and 3,076.78 is: 4,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343 : 12,511.14 = 3,076.78 : x
  2. Step 2: Convert to fraction form
    8,343/12,511.14 = 3,076.78/x
  3. Step 3: Cross multiply
    8,343x = 12,511.14 × 3,076.78
  4. Step 4: Simplify right side
    8,343x = 38,494,025.33
  5. Step 5: Solve for x
    x = 38,494,025.33/8,343
  6. Step 6: Final answer
    x = 4,613.93

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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.