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Finding the Fourth Proportional to 8,267.81, 12,385.31 and 3,871.94

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Solution

The fourth proportional to 8,267.81, 12,385.31 and 3,871.94 is: 5,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.81 : 12,385.31 = 3,871.94 : x
  2. Step 2: Convert to fraction form
    8,267.81/12,385.31 = 3,871.94/x
  3. Step 3: Cross multiply
    8,267.81x = 12,385.31 × 3,871.94
  4. Step 4: Simplify right side
    8,267.81x = 47,955,095.92
  5. Step 5: Solve for x
    x = 47,955,095.92/8,267.81
  6. Step 6: Final answer
    x = 5,800.22

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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.