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Finding the Fourth Proportional to 8,154.80, 12,234.24 and 2,311.28

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Solution

The fourth proportional to 8,154.80, 12,234.24 and 2,311.28 is: 3,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.80 : 12,234.24 = 2,311.28 : x
  2. Step 2: Convert to fraction form
    8,154.80/12,234.24 = 2,311.28/x
  3. Step 3: Cross multiply
    8,154.80x = 12,234.24 × 2,311.28
  4. Step 4: Simplify right side
    8,154.80x = 28,276,754.23
  5. Step 5: Solve for x
    x = 28,276,754.23/8,154.80
  6. Step 6: Final answer
    x = 3,467.50

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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.