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Finding the Fourth Proportional to 8,138.91, 11,233.71 and 4,604.22

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Solution

The fourth proportional to 8,138.91, 11,233.71 and 4,604.22 is: 6,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.91 : 11,233.71 = 4,604.22 : x
  2. Step 2: Convert to fraction form
    8,138.91/11,233.71 = 4,604.22/x
  3. Step 3: Cross multiply
    8,138.91x = 11,233.71 × 4,604.22
  4. Step 4: Simplify right side
    8,138.91x = 51,722,472.26
  5. Step 5: Solve for x
    x = 51,722,472.26/8,138.91
  6. Step 6: Final answer
    x = 6,354.96

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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.