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Finding the Fourth Proportional to 8,140.50, 12,211.64 and 2,592.54

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Solution

The fourth proportional to 8,140.50, 12,211.64 and 2,592.54 is: 3,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.50 : 12,211.64 = 2,592.54 : x
  2. Step 2: Convert to fraction form
    8,140.50/12,211.64 = 2,592.54/x
  3. Step 3: Cross multiply
    8,140.50x = 12,211.64 × 2,592.54
  4. Step 4: Simplify right side
    8,140.50x = 31,659,186.91
  5. Step 5: Solve for x
    x = 31,659,186.91/8,140.50
  6. Step 6: Final answer
    x = 3,889.10

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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.