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Finding the Fourth Proportional to 11,774.94, 17,664.78 and 3,455.22

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Solution

The fourth proportional to 11,774.94, 17,664.78 and 3,455.22 is: 5,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.94 : 17,664.78 = 3,455.22 : x
  2. Step 2: Convert to fraction form
    11,774.94/17,664.78 = 3,455.22/x
  3. Step 3: Cross multiply
    11,774.94x = 17,664.78 × 3,455.22
  4. Step 4: Simplify right side
    11,774.94x = 61,035,701.15
  5. Step 5: Solve for x
    x = 61,035,701.15/11,774.94
  6. Step 6: Final answer
    x = 5,183.53

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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.