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Finding the Fourth Proportional to 8,141.50, 12,200.10 and 5,217.40

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Solution

The fourth proportional to 8,141.50, 12,200.10 and 5,217.40 is: 7,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.50 : 12,200.10 = 5,217.40 : x
  2. Step 2: Convert to fraction form
    8,141.50/12,200.10 = 5,217.40/x
  3. Step 3: Cross multiply
    8,141.50x = 12,200.10 × 5,217.40
  4. Step 4: Simplify right side
    8,141.50x = 63,652,801.74
  5. Step 5: Solve for x
    x = 63,652,801.74/8,141.50
  6. Step 6: Final answer
    x = 7,818.31

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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.