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Finding the Fourth Proportional to 8,982.80, 13,474.20 and 3,138.65

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Solution

The fourth proportional to 8,982.80, 13,474.20 and 3,138.65 is: 4,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.80 : 13,474.20 = 3,138.65 : x
  2. Step 2: Convert to fraction form
    8,982.80/13,474.20 = 3,138.65/x
  3. Step 3: Cross multiply
    8,982.80x = 13,474.20 × 3,138.65
  4. Step 4: Simplify right side
    8,982.80x = 42,290,797.83
  5. Step 5: Solve for x
    x = 42,290,797.83/8,982.80
  6. Step 6: Final answer
    x = 4,707.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.