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Finding the Fourth Proportional to 8,305.43, 12,461.47 and 3,375.46

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Solution

The fourth proportional to 8,305.43, 12,461.47 and 3,375.46 is: 5,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.43 : 12,461.47 = 3,375.46 : x
  2. Step 2: Convert to fraction form
    8,305.43/12,461.47 = 3,375.46/x
  3. Step 3: Cross multiply
    8,305.43x = 12,461.47 × 3,375.46
  4. Step 4: Simplify right side
    8,305.43x = 42,063,153.93
  5. Step 5: Solve for x
    x = 42,063,153.93/8,305.43
  6. Step 6: Final answer
    x = 5,064.54

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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.