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Finding the Fourth Proportional to 8,123.38, 12,191.48 and 4,174.48

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Solution

The fourth proportional to 8,123.38, 12,191.48 and 4,174.48 is: 6,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.38 : 12,191.48 = 4,174.48 : x
  2. Step 2: Convert to fraction form
    8,123.38/12,191.48 = 4,174.48/x
  3. Step 3: Cross multiply
    8,123.38x = 12,191.48 × 4,174.48
  4. Step 4: Simplify right side
    8,123.38x = 50,893,089.43
  5. Step 5: Solve for x
    x = 50,893,089.43/8,123.38
  6. Step 6: Final answer
    x = 6,265.01

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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.