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Finding the Fourth Proportional to 8,653.80, 11,942.25 and 4,674.92

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Solution

The fourth proportional to 8,653.80, 11,942.25 and 4,674.92 is: 6,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.80 : 11,942.25 = 4,674.92 : x
  2. Step 2: Convert to fraction form
    8,653.80/11,942.25 = 4,674.92/x
  3. Step 3: Cross multiply
    8,653.80x = 11,942.25 × 4,674.92
  4. Step 4: Simplify right side
    8,653.80x = 55,829,063.37
  5. Step 5: Solve for x
    x = 55,829,063.37/8,653.80
  6. Step 6: Final answer
    x = 6,451.39

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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.