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Finding the Fourth Proportional to 30,857.80, 46,286.70 and 7,484.22

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Solution

The fourth proportional to 30,857.80, 46,286.70 and 7,484.22 is: 11,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.80 : 46,286.70 = 7,484.22 : x
  2. Step 2: Convert to fraction form
    30,857.80/46,286.70 = 7,484.22/x
  3. Step 3: Cross multiply
    30,857.80x = 46,286.70 × 7,484.22
  4. Step 4: Simplify right side
    30,857.80x = 346,419,845.87
  5. Step 5: Solve for x
    x = 346,419,845.87/30,857.80
  6. Step 6: Final answer
    x = 11,226.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.