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Finding the Fourth Proportional to 11,774.10, 17,650.17 and 3,977.46

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Solution

The fourth proportional to 11,774.10, 17,650.17 and 3,977.46 is: 5,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.10 : 17,650.17 = 3,977.46 : x
  2. Step 2: Convert to fraction form
    11,774.10/17,650.17 = 3,977.46/x
  3. Step 3: Cross multiply
    11,774.10x = 17,650.17 × 3,977.46
  4. Step 4: Simplify right side
    11,774.10x = 70,202,845.17
  5. Step 5: Solve for x
    x = 70,202,845.17/11,774.10
  6. Step 6: Final answer
    x = 5,962.48

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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.