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Finding the Fourth Proportional to 8,152.50, 12,220.54 and 3,220.23

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Solution

The fourth proportional to 8,152.50, 12,220.54 and 3,220.23 is: 4,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.50 : 12,220.54 = 3,220.23 : x
  2. Step 2: Convert to fraction form
    8,152.50/12,220.54 = 3,220.23/x
  3. Step 3: Cross multiply
    8,152.50x = 12,220.54 × 3,220.23
  4. Step 4: Simplify right side
    8,152.50x = 39,352,949.52
  5. Step 5: Solve for x
    x = 39,352,949.52/8,152.50
  6. Step 6: Final answer
    x = 4,827.10

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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.