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Finding the Fourth Proportional to 8,205.55, 12,309.24 and 3,011.44

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Solution

The fourth proportional to 8,205.55, 12,309.24 and 3,011.44 is: 4,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.55 : 12,309.24 = 3,011.44 : x
  2. Step 2: Convert to fraction form
    8,205.55/12,309.24 = 3,011.44/x
  3. Step 3: Cross multiply
    8,205.55x = 12,309.24 × 3,011.44
  4. Step 4: Simplify right side
    8,205.55x = 37,068,537.71
  5. Step 5: Solve for x
    x = 37,068,537.71/8,205.55
  6. Step 6: Final answer
    x = 4,517.50

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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.