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Finding the Fourth Proportional to 8,141.80, 12,212.70 and 2,947

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Solution

The fourth proportional to 8,141.80, 12,212.70 and 2,947 is: 4,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.80 : 12,212.70 = 2,947 : x
  2. Step 2: Convert to fraction form
    8,141.80/12,212.70 = 2,947/x
  3. Step 3: Cross multiply
    8,141.80x = 12,212.70 × 2,947
  4. Step 4: Simplify right side
    8,141.80x = 35,990,826.90
  5. Step 5: Solve for x
    x = 35,990,826.90/8,141.80
  6. Step 6: Final answer
    x = 4,420.50

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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.