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Finding the Fourth Proportional to 8,071.50, 12,107.12 and 3,911.87

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Solution

The fourth proportional to 8,071.50, 12,107.12 and 3,911.87 is: 5,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.50 : 12,107.12 = 3,911.87 : x
  2. Step 2: Convert to fraction form
    8,071.50/12,107.12 = 3,911.87/x
  3. Step 3: Cross multiply
    8,071.50x = 12,107.12 × 3,911.87
  4. Step 4: Simplify right side
    8,071.50x = 47,361,478.18
  5. Step 5: Solve for x
    x = 47,361,478.18/8,071.50
  6. Step 6: Final answer
    x = 5,867.74

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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.