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Finding the Fourth Proportional to 8,208.83, 12,311.12 and 2,284.34

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Solution

The fourth proportional to 8,208.83, 12,311.12 and 2,284.34 is: 3,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.83 : 12,311.12 = 2,284.34 : x
  2. Step 2: Convert to fraction form
    8,208.83/12,311.12 = 2,284.34/x
  3. Step 3: Cross multiply
    8,208.83x = 12,311.12 × 2,284.34
  4. Step 4: Simplify right side
    8,208.83x = 28,122,710.88
  5. Step 5: Solve for x
    x = 28,122,710.88/8,208.83
  6. Step 6: Final answer
    x = 3,425.91

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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.