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Finding the Fourth Proportional to 8,384.83, 12,577.23 and 2,144.85

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Solution

The fourth proportional to 8,384.83, 12,577.23 and 2,144.85 is: 3,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.83 : 12,577.23 = 2,144.85 : x
  2. Step 2: Convert to fraction form
    8,384.83/12,577.23 = 2,144.85/x
  3. Step 3: Cross multiply
    8,384.83x = 12,577.23 × 2,144.85
  4. Step 4: Simplify right side
    8,384.83x = 26,976,271.77
  5. Step 5: Solve for x
    x = 26,976,271.77/8,384.83
  6. Step 6: Final answer
    x = 3,217.27

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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.