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Finding the Fourth Proportional to 8,647.82, 12,962.01 and 3,719.78

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Solution

The fourth proportional to 8,647.82, 12,962.01 and 3,719.78 is: 5,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.82 : 12,962.01 = 3,719.78 : x
  2. Step 2: Convert to fraction form
    8,647.82/12,962.01 = 3,719.78/x
  3. Step 3: Cross multiply
    8,647.82x = 12,962.01 × 3,719.78
  4. Step 4: Simplify right side
    8,647.82x = 48,215,825.56
  5. Step 5: Solve for x
    x = 48,215,825.56/8,647.82
  6. Step 6: Final answer
    x = 5,575.49

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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.