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Finding the Fourth Proportional to 11,774.10, 17,661.15 and 5,193.30

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Solution

The fourth proportional to 11,774.10, 17,661.15 and 5,193.30 is: 7,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.10 : 17,661.15 = 5,193.30 : x
  2. Step 2: Convert to fraction form
    11,774.10/17,661.15 = 5,193.30/x
  3. Step 3: Cross multiply
    11,774.10x = 17,661.15 × 5,193.30
  4. Step 4: Simplify right side
    11,774.10x = 91,719,650.30
  5. Step 5: Solve for x
    x = 91,719,650.30/11,774.10
  6. Step 6: Final answer
    x = 7,789.95

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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.