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Finding the Fourth Proportional to 8,461.62, 12,682.62 and 4,073.04

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Solution

The fourth proportional to 8,461.62, 12,682.62 and 4,073.04 is: 6,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.62 : 12,682.62 = 4,073.04 : x
  2. Step 2: Convert to fraction form
    8,461.62/12,682.62 = 4,073.04/x
  3. Step 3: Cross multiply
    8,461.62x = 12,682.62 × 4,073.04
  4. Step 4: Simplify right side
    8,461.62x = 51,656,818.56
  5. Step 5: Solve for x
    x = 51,656,818.56/8,461.62
  6. Step 6: Final answer
    x = 6,104.84

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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.