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Finding the Fourth Proportional to 12,052.92, 16,633.38 and 6,747.96

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Solution

The fourth proportional to 12,052.92, 16,633.38 and 6,747.96 is: 9,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.92 : 16,633.38 = 6,747.96 : x
  2. Step 2: Convert to fraction form
    12,052.92/16,633.38 = 6,747.96/x
  3. Step 3: Cross multiply
    12,052.92x = 16,633.38 × 6,747.96
  4. Step 4: Simplify right side
    12,052.92x = 112,241,382.90
  5. Step 5: Solve for x
    x = 112,241,382.90/12,052.92
  6. Step 6: Final answer
    x = 9,312.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.