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Finding the Fourth Proportional to 8,638.50, 12,957.72 and 3,711.60

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Solution

The fourth proportional to 8,638.50, 12,957.72 and 3,711.60 is: 5,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.50 : 12,957.72 = 3,711.60 : x
  2. Step 2: Convert to fraction form
    8,638.50/12,957.72 = 3,711.60/x
  3. Step 3: Cross multiply
    8,638.50x = 12,957.72 × 3,711.60
  4. Step 4: Simplify right side
    8,638.50x = 48,093,873.55
  5. Step 5: Solve for x
    x = 48,093,873.55/8,638.50
  6. Step 6: Final answer
    x = 5,567.39

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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.