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Finding the Fourth Proportional to 11,847.80, 17,772 and 3,083.12

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Solution

The fourth proportional to 11,847.80, 17,772 and 3,083.12 is: 4,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.80 : 17,772 = 3,083.12 : x
  2. Step 2: Convert to fraction form
    11,847.80/17,772 = 3,083.12/x
  3. Step 3: Cross multiply
    11,847.80x = 17,772 × 3,083.12
  4. Step 4: Simplify right side
    11,847.80x = 54,793,208.64
  5. Step 5: Solve for x
    x = 54,793,208.64/11,847.80
  6. Step 6: Final answer
    x = 4,624.76

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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.