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Finding the Fourth Proportional to 8,311.80, 12,467.70 and 7,218.30

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Solution

The fourth proportional to 8,311.80, 12,467.70 and 7,218.30 is: 10,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.80 : 12,467.70 = 7,218.30 : x
  2. Step 2: Convert to fraction form
    8,311.80/12,467.70 = 7,218.30/x
  3. Step 3: Cross multiply
    8,311.80x = 12,467.70 × 7,218.30
  4. Step 4: Simplify right side
    8,311.80x = 89,995,598.91
  5. Step 5: Solve for x
    x = 89,995,598.91/8,311.80
  6. Step 6: Final answer
    x = 10,827.45

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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.