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Finding the Fourth Proportional to 8,713.62, 12,020.52 and 5,174.34

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Solution

The fourth proportional to 8,713.62, 12,020.52 and 5,174.34 is: 7,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.62 : 12,020.52 = 5,174.34 : x
  2. Step 2: Convert to fraction form
    8,713.62/12,020.52 = 5,174.34/x
  3. Step 3: Cross multiply
    8,713.62x = 12,020.52 × 5,174.34
  4. Step 4: Simplify right side
    8,713.62x = 62,198,257.46
  5. Step 5: Solve for x
    x = 62,198,257.46/8,713.62
  6. Step 6: Final answer
    x = 7,138.05

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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.