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Finding the Fourth Proportional to 8,140.64, 12,211 and 1,984.64

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Solution

The fourth proportional to 8,140.64, 12,211 and 1,984.64 is: 2,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.64 : 12,211 = 1,984.64 : x
  2. Step 2: Convert to fraction form
    8,140.64/12,211 = 1,984.64/x
  3. Step 3: Cross multiply
    8,140.64x = 12,211 × 1,984.64
  4. Step 4: Simplify right side
    8,140.64x = 24,234,439.04
  5. Step 5: Solve for x
    x = 24,234,439.04/8,140.64
  6. Step 6: Final answer
    x = 2,976.97

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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.