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Finding the Fourth Proportional to 8,437.82, 12,662.37 and 3,507.44

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Solution

The fourth proportional to 8,437.82, 12,662.37 and 3,507.44 is: 5,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.82 : 12,662.37 = 3,507.44 : x
  2. Step 2: Convert to fraction form
    8,437.82/12,662.37 = 3,507.44/x
  3. Step 3: Cross multiply
    8,437.82x = 12,662.37 × 3,507.44
  4. Step 4: Simplify right side
    8,437.82x = 44,412,439.72
  5. Step 5: Solve for x
    x = 44,412,439.72/8,437.82
  6. Step 6: Final answer
    x = 5,263.50

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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.