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Finding the Fourth Proportional to 11,645.52, 17,456.04 and 3,852.24

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Solution

The fourth proportional to 11,645.52, 17,456.04 and 3,852.24 is: 5,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.52 : 17,456.04 = 3,852.24 : x
  2. Step 2: Convert to fraction form
    11,645.52/17,456.04 = 3,852.24/x
  3. Step 3: Cross multiply
    11,645.52x = 17,456.04 × 3,852.24
  4. Step 4: Simplify right side
    11,645.52x = 67,244,855.53
  5. Step 5: Solve for x
    x = 67,244,855.53/11,645.52
  6. Step 6: Final answer
    x = 5,774.31

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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.