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Finding the Fourth Proportional to 8,140.08, 12,211.01 and 2,591.48

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Solution

The fourth proportional to 8,140.08, 12,211.01 and 2,591.48 is: 3,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.08 : 12,211.01 = 2,591.48 : x
  2. Step 2: Convert to fraction form
    8,140.08/12,211.01 = 2,591.48/x
  3. Step 3: Cross multiply
    8,140.08x = 12,211.01 × 2,591.48
  4. Step 4: Simplify right side
    8,140.08x = 31,644,523.90
  5. Step 5: Solve for x
    x = 31,644,523.90/8,140.08
  6. Step 6: Final answer
    x = 3,887.50

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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.