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Finding the Fourth Proportional to 8,496.92, 12,741.42 and 3,232.91

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Solution

The fourth proportional to 8,496.92, 12,741.42 and 3,232.91 is: 4,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.92 : 12,741.42 = 3,232.91 : x
  2. Step 2: Convert to fraction form
    8,496.92/12,741.42 = 3,232.91/x
  3. Step 3: Cross multiply
    8,496.92x = 12,741.42 × 3,232.91
  4. Step 4: Simplify right side
    8,496.92x = 41,191,864.13
  5. Step 5: Solve for x
    x = 41,191,864.13/8,496.92
  6. Step 6: Final answer
    x = 4,847.86

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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.