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Finding the Fourth Proportional to 8,123.69, 12,201.93 and 4,843.19

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Solution

The fourth proportional to 8,123.69, 12,201.93 and 4,843.19 is: 7,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.69 : 12,201.93 = 4,843.19 : x
  2. Step 2: Convert to fraction form
    8,123.69/12,201.93 = 4,843.19/x
  3. Step 3: Cross multiply
    8,123.69x = 12,201.93 × 4,843.19
  4. Step 4: Simplify right side
    8,123.69x = 59,096,295.86
  5. Step 5: Solve for x
    x = 59,096,295.86/8,123.69
  6. Step 6: Final answer
    x = 7,274.56

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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.